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Atlas › Integer Profiles › Node 48,331,120

48,331,120

24 × 5 × 67 × 71 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 67 × 71 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 116,563,968
Proper Divisor Sum 68,232,848
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #48331111 ← → #48331133

Radix Representation

Decimal 48331120
Binary 10111000010111100101110000 (26 bits)
Octal 0o270274560
Hexadecimal 0x2E17970

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 40 67 71 80 127 134 142 254 268 284 335 355 508 536 568 635 670 710 1,016 1,072 1,136 1,270 1,340 1,420 2,032 2,540 2,680 2,840 4,757 5,080 5,360 5,680 8,509 9,017 9,514 10,160 17,018 18,034 19,028 23,785 34,036 36,068 38,056 42,545 45,085 47,570 68,072 72,136 76,112 85,090 90,170 95,140

Collatz Trajectory (98 steps to reach 1)

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

48,331,120 24,165,560 12,082,780 6,041,390 3,020,695 9,062,086 4,531,043 13,593,130 6,796,565 20,389,696 10,194,848 5,097,424 2,548,712 1,274,356 637,178 318,589 955,768 477,884 238,942 119,471 358,414 179,207 537,622 268,811 806,434 403,217 1,209,652 604,826 302,413 907,240 453,620 226,810 113,405 340,216 170,108 85,054 42,527 127,582 63,791 191,374 95,687 287,062 143,531 430,594 215,297 645,892 322,946 161,473 484,420 242,210 121,105 363,316 181,658 90,829 272,488 136,244 68,122 34,061 102,184 51,092

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