530,153

13² × 3137

530,153 factors as 13^2 × 3137. Its 6 positive divisors give a proper-divisor sum of 44,101, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 13^2 × 3137

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 574,254

Proper Divisor Sum 44,101

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #530143 ← → #530177

Radix Representation

Decimal	530153
Binary	10000001011011101001 (20 bits)
Octal	0o2013351
Hexadecimal	0x816E9

Divisor Catalog (6)

1 13 169 3,137 40,781 530,153

Collatz Trajectory (182 steps to reach 1)

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

530,153 1,590,460 795,230 397,615 1,192,846 596,423 1,789,270 894,635 2,683,906 1,341,953 4,025,860 2,012,930 1,006,465 3,019,396 1,509,698 754,849 2,264,548 1,132,274 566,137 1,698,412 849,206 424,603 1,273,810 636,905 1,910,716 955,358 477,679 1,433,038 716,519 2,149,558 1,074,779 3,224,338 1,612,169 4,836,508 2,418,254 1,209,127 3,627,382 1,813,691 5,441,074 2,720,537 8,161,612 4,080,806 2,040,403 6,121,210 3,060,605 9,181,816 4,590,908 2,295,454 1,147,727 3,443,182 1,721,591 5,164,774 2,582,387 7,747,162 3,873,581 11,620,744 5,810,372 2,905,186 1,452,593 4,357,780

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