73,120

2⁵ × 5 × 457

73,120 factors as 2^5 × 5 × 457. Its 24 positive divisors give a proper-divisor sum of 100,004, so this integer is abundant. The Collatz stopping time is 37 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 173,124

Proper Divisor Sum 100,004

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #73091 ← → #73121

Radix Representation

Decimal	73120
Binary	10001110110100000 (17 bits)
Octal	0o216640
Hexadecimal	0x11DA0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 457 914 1,828 2,285 3,656 4,570 7,312 9,140 14,624 18,280 36,560 73,120

Collatz Trajectory (37 steps to reach 1)

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

73,120 36,560 18,280 9,140 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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