13,397,992

2³ × 127 × 13187

13,397,992 factors as 2^3 × 127 × 13187. Its 16 positive divisors give a proper-divisor sum of 11,922,968, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 127 × 13187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,320,960

Proper Divisor Sum 11,922,968

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #13397987 ← → #13398001

Radix Representation

Decimal	13397992
Binary	110011000110111111101000 (24 bits)
Octal	0o63067750
Hexadecimal	0xCC6FE8

Divisor Catalog (16)

1 2 4 8 127 254 508 1,016 13,187 26,374 52,748 105,496 1,674,749 3,349,498 6,698,996 13,397,992

Collatz Trajectory (117 steps to reach 1)

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

13,397,992 6,698,996 3,349,498 1,674,749 5,024,248 2,512,124 1,256,062 628,031 1,884,094 942,047 2,826,142 1,413,071 4,239,214 2,119,607 6,358,822 3,179,411 9,538,234 4,769,117 14,307,352 7,153,676 3,576,838 1,788,419 5,365,258 2,682,629 8,047,888 4,023,944 2,011,972 1,005,986 502,993 1,508,980 754,490 377,245 1,131,736 565,868 282,934 141,467 424,402 212,201 636,604 318,302 159,151 477,454 238,727 716,182 358,091 1,074,274 537,137 1,611,412 805,706 402,853 1,208,560 604,280 302,140 151,070 75,535 226,606 113,303 339,910 169,955 509,866

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