61,377,340

2² × 5 × 23 × 29 × 43 × 107

61,377,340 factors as 2^2 × 5 × 23 × 29 × 43 × 107. Its 96 positive divisors give a proper-divisor sum of 82,323,140, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 29 × 43 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 143,700,480

Proper Divisor Sum 82,323,140

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #61377331 ← → #61377341

Radix Representation

Decimal	61377340
Binary	11101010001000101100111100 (26 bits)
Octal	0o352105474
Hexadecimal	0x3A88B3C

Divisor Catalog (60 of 96)

1 2 4 5 10 20 23 29 43 46 58 86 92 107 115 116 145 172 214 215 230 290 428 430 460 535 580 667 860 989 1,070 1,247 1,334 1,978 2,140 2,461 2,494 2,668 3,103 3,335 3,956 4,601 4,922 4,945 4,988 6,206 6,235 6,670 9,202 9,844 9,890 12,305 12,412 12,470 13,340 15,515 18,404 19,780 23,005 24,610

Collatz Trajectory (251 steps to reach 1)

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

61,377,340 30,688,670 15,344,335 46,033,006 23,016,503 69,049,510 34,524,755 103,574,266 51,787,133 155,361,400 77,680,700 38,840,350 19,420,175 58,260,526 29,130,263 87,390,790 43,695,395 131,086,186 65,543,093 196,629,280 98,314,640 49,157,320 24,578,660 12,289,330 6,144,665 18,433,996 9,216,998 4,608,499 13,825,498 6,912,749 20,738,248 10,369,124 5,184,562 2,592,281 7,776,844 3,888,422 1,944,211 5,832,634 2,916,317 8,748,952 4,374,476 2,187,238 1,093,619 3,280,858 1,640,429 4,921,288 2,460,644 1,230,322 615,161 1,845,484 922,742 461,371 1,384,114 692,057 2,076,172 1,038,086 519,043 1,557,130 778,565 2,335,696

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