84,477

3 × 29 × 971

84,477 factors as 3 × 29 × 971. Its 8 positive divisors give a proper-divisor sum of 32,163, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 3 × 29 × 971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 116,640

Proper Divisor Sum 32,163

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #84467 ← → #84481

Radix Representation

Decimal	84477
Binary	10100100111111101 (17 bits)
Octal	0o244775
Hexadecimal	0x149FD

Divisor Catalog (8)

1 3 29 87 971 2,913 28,159 84,477

Collatz Trajectory (81 steps to reach 1)

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

84,477 253,432 126,716 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059 114,178 57,089 171,268 85,634 42,817 128,452 64,226 32,113 96,340 48,170 24,085 72,256 36,128 18,064 9,032 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220

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