152,802

2 × 3² × 13 × 653

152,802 factors as 2 × 3^2 × 13 × 653. Its 24 positive divisors give a proper-divisor sum of 204,282, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 357,084

Proper Divisor Sum 204,282

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #152791 ← → #152809

Radix Representation

Decimal	152802
Binary	100101010011100010 (18 bits)
Octal	0o452342
Hexadecimal	0x254E2

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 653 1,306 1,959 3,918 5,877 8,489 11,754 16,978 25,467 50,934 76,401 152,802

Collatz Trajectory (108 steps to reach 1)

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

152,802 76,401 229,204 114,602 57,301 171,904 85,952 42,976 21,488 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831

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