λ
Zalai Atlas

7,730,701

11 × 19 × 47 × 787
Deficient Odd Composite

7,730,701 has the prime decomposition 11 × 19 × 47 × 787. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 47 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,077,760
Proper Divisor Sum 1,347,059
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7730683 ← → #7730719

Radix Representation

Decimal 7730701
Binary 11101011111011000001101 (23 bits)
Octal 0o35373015
Hexadecimal 0x75F60D

Divisor Catalog (16)

1 11 19 47 209 517 787 893 8,657 9,823 14,953 36,989 164,483 406,879 702,791 7,730,701

Collatz Trajectory (124 steps to reach 1)

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

7,730,701 23,192,104 11,596,052 5,798,026 2,899,013 8,697,040 4,348,520 2,174,260 1,087,130 543,565 1,630,696 815,348 407,674 203,837 611,512 305,756 152,878 76,439 229,318 114,659 343,978 171,989 515,968 257,984 128,992 64,496 32,248 16,124 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363

More profiles

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