7,777,376

2⁵ × 359 × 677

7,777,376 factors as 2^5 × 359 × 677. Its 24 positive divisors give a proper-divisor sum of 7,599,664, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^5 × 359 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,377,040

Proper Divisor Sum 7,599,664

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7777369 ← → #7777397

Radix Representation

Decimal	7777376
Binary	11101101010110001100000 (23 bits)
Octal	0o35526140
Hexadecimal	0x76AC60

Divisor Catalog (24)

1 2 4 8 16 32 359 677 718 1,354 1,436 2,708 2,872 5,416 5,744 10,832 11,488 21,664 243,043 486,086 972,172 1,944,344 3,888,688 7,777,376

Collatz Trajectory (80 steps to reach 1)

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

7,777,376 3,888,688 1,944,344 972,172 486,086 243,043 729,130 364,565 1,093,696 546,848 273,424 136,712 68,356 34,178 17,089 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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