13,199,380

2² × 5 × 37 × 17837

13,199,380 factors as 2^2 × 5 × 37 × 17837. Its 24 positive divisors give a proper-divisor sum of 15,270,068, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 17837

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 28,469,448

Proper Divisor Sum 15,270,068

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13199377 ← → #13199383

Radix Representation

Decimal	13199380
Binary	110010010110100000010100 (24 bits)
Octal	0o62264024
Hexadecimal	0xC96814

Divisor Catalog (24)

Collatz Trajectory (179 steps to reach 1)

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

13,199,380 6,599,690 3,299,845 9,899,536 4,949,768 2,474,884 1,237,442 618,721 1,856,164 928,082 464,041 1,392,124 696,062 348,031 1,044,094 522,047 1,566,142 783,071 2,349,214 1,174,607 3,523,822 1,761,911 5,285,734 2,642,867 7,928,602 3,964,301 11,892,904 5,946,452 2,973,226 1,486,613 4,459,840 2,229,920 1,114,960 557,480 278,740 139,370 69,685 209,056 104,528 52,264 26,132 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388

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