λ
Zalai Atlas

3,569,146

2 × 7 × 29 × 59 × 149
Deficient Even Composite

3,569,146 has the prime decomposition 2 × 7 × 29 × 59 × 149. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 59 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,480,000
Proper Divisor Sum 2,910,854
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3569143 ← → #3569161

Radix Representation

Decimal 3569146
Binary 1101100111010111111010 (22 bits)
Octal 0o15472772
Hexadecimal 0x3675FA

Divisor Catalog (32)

1 2 7 14 29 58 59 118 149 203 298 406 413 826 1,043 1,711 2,086 3,422 4,321 8,642 8,791 11,977 17,582 23,954 30,247 60,494 61,537 123,074 254,939 509,878 1,784,573 3,569,146

Collatz Trajectory (97 steps to reach 1)

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

3,569,146 1,784,573 5,353,720 2,676,860 1,338,430 669,215 2,007,646 1,003,823 3,011,470 1,505,735 4,517,206 2,258,603 6,775,810 3,387,905 10,163,716 5,081,858 2,540,929 7,622,788 3,811,394 1,905,697 5,717,092 2,858,546 1,429,273 4,287,820 2,143,910 1,071,955 3,215,866 1,607,933 4,823,800 2,411,900 1,205,950 602,975 1,808,926 904,463 2,713,390 1,356,695 4,070,086 2,035,043 6,105,130 3,052,565 9,157,696 4,578,848 2,289,424 1,144,712 572,356 286,178 143,089 429,268 214,634 107,317 321,952 160,976 80,488 40,244 20,122 10,061 30,184 15,092 7,546 3,773

More profiles

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