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Atlas › Integer Profiles › Node 96,056,320

96,056,320

210 × 5 × 73 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 5 × 73 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 234,487,944
Proper Divisor Sum 138,431,624
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #96056291 ← → #96056327

Radix Representation

Decimal 96056320
Binary 101101110011011010000000000 (27 bits)
Octal 0o556332000
Hexadecimal 0x5B9B400

Divisor Catalog (60 of 88)

1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 257 292 320 365 512 514 584 640 730 1,024 1,028 1,168 1,280 1,285 1,460 2,056 2,336 2,560 2,570 2,920 4,112 4,672 5,120 5,140 5,840 8,224 9,344 10,280 11,680 16,448 18,688 18,761 20,560 23,360 32,896 37,376 37,522 41,120 46,720 65,792 74,752 75,044 82,240

Collatz Trajectory (143 steps to reach 1)

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

96,056,320 48,028,160 24,014,080 12,007,040 6,003,520 3,001,760 1,500,880 750,440 375,220 187,610 93,805 281,416 140,708 70,354 35,177 105,532 52,766 26,383 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

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