λ
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Atlas › Integer Profiles › Node 15,051,136

15,051,136

27 × 59 × 1993
Abundant Even Composite

15,051,136 factors as 2^7 × 59 × 1993. Its 32 positive divisors give a proper-divisor sum of 15,457,064, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^7 × 59 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,508,200
Proper Divisor Sum 15,457,064
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15051133 ← → #15051143

Radix Representation

Decimal 15051136
Binary 111001011010100110000000 (24 bits)
Octal 0o71324600
Hexadecimal 0xE5A980

Divisor Catalog (32)

1 2 4 8 16 32 59 64 118 128 236 472 944 1,888 1,993 3,776 3,986 7,552 7,972 15,944 31,888 63,776 117,587 127,552 235,174 255,104 470,348 940,696 1,881,392 3,762,784 7,525,568 15,051,136

Collatz Trajectory (205 steps to reach 1)

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

15,051,136 7,525,568 3,762,784 1,881,392 940,696 470,348 235,174 117,587 352,762 176,381 529,144 264,572 132,286 66,143 198,430 99,215 297,646 148,823 446,470 223,235 669,706 334,853 1,004,560 502,280 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498

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