7,683,865

5 × 7 × 59 × 61²

Starting at 7,683,865, the Collatz iteration reaches 1 after 217 steps. The first transition is 23051596; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 59 × 61^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,895,040

Proper Divisor Sum 3,211,175

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7683859 ← → #7683899

Radix Representation

Decimal	7683865
Binary	11101010011111100011001 (23 bits)
Octal	0o35237431
Hexadecimal	0x753F19

Divisor Catalog (24)

1 5 7 35 59 61 295 305 413 427 2,065 2,135 3,599 3,721 17,995 18,605 25,193 26,047 125,965 130,235 219,539 1,097,695 1,536,773 7,683,865

Collatz Trajectory (217 steps to reach 1)

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

7,683,865 23,051,596 11,525,798 5,762,899 17,288,698 8,644,349 25,933,048 12,966,524 6,483,262 3,241,631 9,724,894 4,862,447 14,587,342 7,293,671 21,881,014 10,940,507 32,821,522 16,410,761 49,232,284 24,616,142 12,308,071 36,924,214 18,462,107 55,386,322 27,693,161 83,079,484 41,539,742 20,769,871 62,309,614 31,154,807 93,464,422 46,732,211 140,196,634 70,098,317 210,294,952 105,147,476 52,573,738 26,286,869 78,860,608 39,430,304 19,715,152 9,857,576 4,928,788 2,464,394 1,232,197 3,696,592 1,848,296 924,148 462,074 231,037 693,112 346,556 173,278 86,639 259,918 129,959 389,878 194,939 584,818 292,409

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