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Atlas › Integer Profiles › Node 40,501,232

40,501,232

24 × 67 × 37781
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 67 × 37781
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 79,644,456
Proper Divisor Sum 39,143,224
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #40501231 ← → #40501267

Radix Representation

Decimal 40501232
Binary 10011010011111111111110000 (26 bits)
Octal 0o232377760
Hexadecimal 0x269FFF0

Divisor Catalog (20)

1 2 4 8 16 67 134 268 536 1,072 37,781 75,562 151,124 302,248 604,496 2,531,327 5,062,654 10,125,308 20,250,616 40,501,232

Collatz Trajectory (253 steps to reach 1)

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

40,501,232 20,250,616 10,125,308 5,062,654 2,531,327 7,593,982 3,796,991 11,390,974 5,695,487 17,086,462 8,543,231 25,629,694 12,814,847 38,444,542 19,222,271 57,666,814 28,833,407 86,500,222 43,250,111 129,750,334 64,875,167 194,625,502 97,312,751 291,938,254 145,969,127 437,907,382 218,953,691 656,861,074 328,430,537 985,291,612 492,645,806 246,322,903 738,968,710 369,484,355 1,108,453,066 554,226,533 1,662,679,600 831,339,800 415,669,900 207,834,950 103,917,475 311,752,426 155,876,213 467,628,640 233,814,320 116,907,160 58,453,580 29,226,790 14,613,395 43,840,186 21,920,093 65,760,280 32,880,140 16,440,070 8,220,035 24,660,106 12,330,053 36,990,160 18,495,080 9,247,540

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