61,132,156

2² × 83 × 184133

61,132,156 factors as 2^2 × 83 × 184133. Its 12 positive divisors give a proper-divisor sum of 47,138,636, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 83 × 184133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 108,270,792

Proper Divisor Sum 47,138,636

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #61132129 ← → #61132163

Radix Representation

Decimal	61132156
Binary	11101001001100110101111100 (26 bits)
Octal	0o351146574
Hexadecimal	0x3A4CD7C

Divisor Catalog (12)

1 2 4 83 166 332 184,133 368,266 736,532 15,283,039 30,566,078 61,132,156

Collatz Trajectory (251 steps to reach 1)

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

61,132,156 30,566,078 15,283,039 45,849,118 22,924,559 68,773,678 34,386,839 103,160,518 51,580,259 154,740,778 77,370,389 232,111,168 116,055,584 58,027,792 29,013,896 14,506,948 7,253,474 3,626,737 10,880,212 5,440,106 2,720,053 8,160,160 4,080,080 2,040,040 1,020,020 510,010 255,005 765,016 382,508 191,254 95,627 286,882 143,441 430,324 215,162 107,581 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636

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