7,767,910

2 × 5 × 101 × 7691

Starting at 7,767,910, the Collatz iteration reaches 1 after 93 steps. The first transition is 3883955; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 101 × 7691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,122,512

Proper Divisor Sum 6,354,602

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7767899 ← → #7767917

Radix Representation

Decimal	7767910
Binary	11101101000011101100110 (23 bits)
Octal	0o35503546
Hexadecimal	0x768766

Divisor Catalog (16)

1 2 5 10 101 202 505 1,010 7,691 15,382 38,455 76,910 776,791 1,553,582 3,883,955 7,767,910

Collatz Trajectory (93 steps to reach 1)

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

7,767,910 3,883,955 11,651,866 5,825,933 17,477,800 8,738,900 4,369,450 2,184,725 6,554,176 3,277,088 1,638,544 819,272 409,636 204,818 102,409 307,228 153,614 76,807 230,422 115,211 345,634 172,817 518,452 259,226 129,613 388,840 194,420 97,210 48,605 145,816 72,908 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

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