λ
Zalai Atlas

9,124,850

2 × 52 × 7 × 292 × 31
Abundant Even Composite

9,124,850 has the prime decomposition 2 × 5^2 × 7 × 29^2 × 31. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 29^2 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,736,768
Proper Divisor Sum 11,611,918
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9124811 ← → #9124861

Radix Representation

Decimal 9124850
Binary 100010110011101111110010 (24 bits)
Octal 0o42635762
Hexadecimal 0x8B3BF2

Divisor Catalog (60 of 72)

1 2 5 7 10 14 25 29 31 35 50 58 62 70 145 155 175 203 217 290 310 350 406 434 725 775 841 899 1,015 1,085 1,450 1,550 1,682 1,798 2,030 2,170 4,205 4,495 5,075 5,425 5,887 6,293 8,410 8,990 10,150 10,850 11,774 12,586 21,025 22,475 26,071 29,435 31,465 42,050 44,950 52,142 58,870 62,930 130,355 147,175

Collatz Trajectory (212 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,124,850 4,562,425 13,687,276 6,843,638 3,421,819 10,265,458 5,132,729 15,398,188 7,699,094 3,849,547 11,548,642 5,774,321 17,322,964 8,661,482 4,330,741 12,992,224 6,496,112 3,248,056 1,624,028 812,014 406,007 1,218,022 609,011 1,827,034 913,517 2,740,552 1,370,276 685,138 342,569 1,027,708 513,854 256,927 770,782 385,391 1,156,174 578,087 1,734,262 867,131 2,601,394 1,300,697 3,902,092 1,951,046 975,523 2,926,570 1,463,285 4,389,856 2,194,928 1,097,464 548,732 274,366 137,183 411,550 205,775 617,326 308,663 925,990 462,995 1,388,986 694,493 2,083,480

More profiles

← Previous Integer #9,124,849 Browse Full Index Next Integer #9,124,851 →