13,993,900

2² × 5² × 139939

13,993,900 factors as 2^2 × 5^2 × 139939. Its 18 positive divisors give a proper-divisor sum of 16,373,080, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 139939

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 30,366,980

Proper Divisor Sum 16,373,080

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13993891 ← → #13993909

Radix Representation

Decimal	13993900
Binary	110101011000011110101100 (24 bits)
Octal	0o65303654
Hexadecimal	0xD587AC

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 139,939 279,878 559,756 699,695 1,399,390 2,798,780 3,498,475 6,996,950 13,993,900

Collatz Trajectory (192 steps to reach 1)

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

13,993,900 6,996,950 3,498,475 10,495,426 5,247,713 15,743,140 7,871,570 3,935,785 11,807,356 5,903,678 2,951,839 8,855,518 4,427,759 13,283,278 6,641,639 19,924,918 9,962,459 29,887,378 14,943,689 44,831,068 22,415,534 11,207,767 33,623,302 16,811,651 50,434,954 25,217,477 75,652,432 37,826,216 18,913,108 9,456,554 4,728,277 14,184,832 7,092,416 3,546,208 1,773,104 886,552 443,276 221,638 110,819 332,458 166,229 498,688 249,344 124,672 62,336 31,168 15,584 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470

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