128,984

2³ × 23 × 701

128,984 factors as 2^3 × 23 × 701. Its 16 positive divisors give a proper-divisor sum of 123,736, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 252,720

Proper Divisor Sum 123,736

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #128983 ← → #128987

Radix Representation

Decimal	128984
Binary	11111011111011000 (17 bits)
Octal	0o373730
Hexadecimal	0x1F7D8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 701 1,402 2,804 5,608 16,123 32,246 64,492 128,984

Collatz Trajectory (193 steps to reach 1)

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

128,984 64,492 32,246 16,123 48,370 24,185 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482

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