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Atlas › Integer Profiles › Node 15,005,140

15,005,140

22 × 5 × 71 × 10567
Abundant Even Composite

15,005,140 factors as 2^2 × 5 × 71 × 10567. Its 24 positive divisors give a proper-divisor sum of 16,952,492, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 10567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 31,957,632
Proper Divisor Sum 16,952,492
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #15005129 ← → #15005149

Radix Representation

Decimal 15005140
Binary 111001001111010111010100 (24 bits)
Octal 0o71172724
Hexadecimal 0xE4F5D4

Divisor Catalog (24)

1 2 4 5 10 20 71 142 284 355 710 1,420 10,567 21,134 42,268 52,835 105,670 211,340 750,257 1,500,514 3,001,028 3,751,285 7,502,570 15,005,140

Collatz Trajectory (112 steps to reach 1)

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

15,005,140 7,502,570 3,751,285 11,253,856 5,626,928 2,813,464 1,406,732 703,366 351,683 1,055,050 527,525 1,582,576 791,288 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874

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