77,554

2 × 17 × 2281

77,554 factors as 2 × 17 × 2281. Its 8 positive divisors give a proper-divisor sum of 45,674, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 17 × 2281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 123,228

Proper Divisor Sum 45,674

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #77551 ← → #77557

Radix Representation

Decimal	77554
Binary	10010111011110010 (17 bits)
Octal	0o227362
Hexadecimal	0x12EF2

Divisor Catalog (8)

1 2 17 34 2,281 4,562 38,777 77,554

Collatz Trajectory (169 steps to reach 1)

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

77,554 38,777 116,332 58,166 29,083 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82

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