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Atlas › Integer Profiles › Node 11,552,632

11,552,632

23 × 72 × 13 × 2267
Abundant Even Composite

11,552,632 factors as 2^3 × 7^2 × 13 × 2267. Its 48 positive divisors give a proper-divisor sum of 15,595,328, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 13 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,147,960
Proper Divisor Sum 15,595,328
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11552617 ← → #11552659

Radix Representation

Decimal 11552632
Binary 101100000100011101111000 (24 bits)
Octal 0o54043570
Hexadecimal 0xB04778

Divisor Catalog (48)

1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1,274 2,267 2,548 4,534 5,096 9,068 15,869 18,136 29,471 31,738 58,942 63,476 111,083 117,884 126,952 206,297 222,166 235,768 412,594 444,332 825,188 888,664 1,444,079 1,650,376 2,888,158 5,776,316 11,552,632

Collatz Trajectory (215 steps to reach 1)

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

11,552,632 5,776,316 2,888,158 1,444,079 4,332,238 2,166,119 6,498,358 3,249,179 9,747,538 4,873,769 14,621,308 7,310,654 3,655,327 10,965,982 5,482,991 16,448,974 8,224,487 24,673,462 12,336,731 37,010,194 18,505,097 55,515,292 27,757,646 13,878,823 41,636,470 20,818,235 62,454,706 31,227,353 93,682,060 46,841,030 23,420,515 70,261,546 35,130,773 105,392,320 52,696,160 26,348,080 13,174,040 6,587,020 3,293,510 1,646,755 4,940,266 2,470,133 7,410,400 3,705,200 1,852,600 926,300 463,150 231,575 694,726 347,363 1,042,090 521,045 1,563,136 781,568 390,784 195,392 97,696 48,848 24,424 12,212

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