λ
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Atlas › Integer Profiles › Node 15,131,288

15,131,288

23 × 53 × 127 × 281
Deficient Even Composite

15,131,288 factors as 2^3 × 53 × 127 × 281. Its 32 positive divisors give a proper-divisor sum of 14,106,472, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 53 × 127 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,237,760
Proper Divisor Sum 14,106,472
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #15131287 ← → #15131293

Radix Representation

Decimal 15131288
Binary 111001101110001010011000 (24 bits)
Octal 0o71561230
Hexadecimal 0xE6E298

Divisor Catalog (32)

1 2 4 8 53 106 127 212 254 281 424 508 562 1,016 1,124 2,248 6,731 13,462 14,893 26,924 29,786 35,687 53,848 59,572 71,374 119,144 142,748 285,496 1,891,411 3,782,822 7,565,644 15,131,288

Collatz Trajectory (143 steps to reach 1)

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

15,131,288 7,565,644 3,782,822 1,891,411 5,674,234 2,837,117 8,511,352 4,255,676 2,127,838 1,063,919 3,191,758 1,595,879 4,787,638 2,393,819 7,181,458 3,590,729 10,772,188 5,386,094 2,693,047 8,079,142 4,039,571 12,118,714 6,059,357 18,178,072 9,089,036 4,544,518 2,272,259 6,816,778 3,408,389 10,225,168 5,112,584 2,556,292 1,278,146 639,073 1,917,220 958,610 479,305 1,437,916 718,958 359,479 1,078,438 539,219 1,617,658 808,829 2,426,488 1,213,244 606,622 303,311 909,934 454,967 1,364,902 682,451 2,047,354 1,023,677 3,071,032 1,535,516 767,758 383,879 1,151,638 575,819

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