7,777,155

3 × 5 × 79 × 6563

7,777,155 factors as 3 × 5 × 79 × 6563. Its 16 positive divisors give a proper-divisor sum of 4,825,725, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 6563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,602,880

Proper Divisor Sum 4,825,725

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7777139 ← → #7777171

Radix Representation

Decimal	7777155
Binary	11101101010101110000011 (23 bits)
Octal	0o35525603
Hexadecimal	0x76AB83

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 6,563 19,689 32,815 98,445 518,477 1,555,431 2,592,385 7,777,155

Collatz Trajectory (173 steps to reach 1)

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

7,777,155 23,331,466 11,665,733 34,997,200 17,498,600 8,749,300 4,374,650 2,187,325 6,561,976 3,280,988 1,640,494 820,247 2,460,742 1,230,371 3,691,114 1,845,557 5,536,672 2,768,336 1,384,168 692,084 346,042 173,021 519,064 259,532 129,766 64,883 194,650 97,325 291,976 145,988 72,994 36,497 109,492 54,746 27,373 82,120 41,060 20,530 10,265 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225

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