15,369

3 × 47 × 109

For 15,369, the 8 positive divisors have a total of 21,120. Removing 15,369 leaves 5,751, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 47 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 21,120

Proper Divisor Sum 5,751

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #15361 ← → #15373

Radix Representation

Decimal	15369
Binary	11110000001001 (14 bits)
Octal	0o36011
Hexadecimal	0x3C09

Divisor Catalog (8)

1 3 47 109 141 327 5,123 15,369

Collatz Trajectory (102 steps to reach 1)

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

15,369 46,108 23,054 11,527 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370 199,685 599,056 299,528 149,764 74,882 37,441 112,324 56,162 28,081 84,244 42,122 21,061

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