771,759

3² × 85751

Starting at 771,759, the Collatz iteration reaches 1 after 131 steps. The first transition is 2315278; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 85751

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,114,776

Proper Divisor Sum 343,017

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #771739 ← → #771763

Radix Representation

Decimal	771759
Binary	10111100011010101111 (20 bits)
Octal	0o2743257
Hexadecimal	0xBC6AF

Divisor Catalog (6)

1 3 9 85,751 257,253 771,759

Collatz Trajectory (131 steps to reach 1)

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

771,759 2,315,278 1,157,639 3,472,918 1,736,459 5,209,378 2,604,689 7,814,068 3,907,034 1,953,517 5,860,552 2,930,276 1,465,138 732,569 2,197,708 1,098,854 549,427 1,648,282 824,141 2,472,424 1,236,212 618,106 309,053 927,160 463,580 231,790 115,895 347,686 173,843 521,530 260,765 782,296 391,148 195,574 97,787 293,362 146,681 440,044 220,022 110,011 330,034 165,017 495,052 247,526 123,763 371,290 185,645 556,936 278,468 139,234 69,617 208,852 104,426 52,213 156,640 78,320 39,160 19,580 9,790 4,895

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