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Atlas › Integer Profiles › Node 61,395,240

61,395,240

23 × 3 × 5 × 511627
Abundant Even Composite

61,395,240 factors as 2^3 × 3 × 5 × 511627. Its 32 positive divisors give a proper-divisor sum of 122,790,840, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 511627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 184,186,080
Proper Divisor Sum 122,790,840
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61395239 ← → #61395293

Radix Representation

Decimal 61395240
Binary 11101010001101000100101000 (26 bits)
Octal 0o352150450
Hexadecimal 0x3A8D128

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 511,627 1,023,254 1,534,881 2,046,508 2,558,135 3,069,762 4,093,016 5,116,270 6,139,524 7,674,405 10,232,540 12,279,048 15,348,810 20,465,080 30,697,620 61,395,240

Collatz Trajectory (282 steps to reach 1)

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

61,395,240 30,697,620 15,348,810 7,674,405 23,023,216 11,511,608 5,755,804 2,877,902 1,438,951 4,316,854 2,158,427 6,475,282 3,237,641 9,712,924 4,856,462 2,428,231 7,284,694 3,642,347 10,927,042 5,463,521 16,390,564 8,195,282 4,097,641 12,292,924 6,146,462 3,073,231 9,219,694 4,609,847 13,829,542 6,914,771 20,744,314 10,372,157 31,116,472 15,558,236 7,779,118 3,889,559 11,668,678 5,834,339 17,503,018 8,751,509 26,254,528 13,127,264 6,563,632 3,281,816 1,640,908 820,454 410,227 1,230,682 615,341 1,846,024 923,012 461,506 230,753 692,260 346,130 173,065 519,196 259,598 129,799 389,398

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