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Atlas › Integer Profiles › Node 54,075,376

54,075,376

24 × 1601 × 2111
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 1601 × 2111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 104,886,144
Proper Divisor Sum 50,810,768
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #54075367 ← → #54075403

Radix Representation

Decimal 54075376
Binary 11001110010001111111110000 (26 bits)
Octal 0o316217760
Hexadecimal 0x3391FF0

Divisor Catalog (20)

1 2 4 8 16 1,601 2,111 3,202 4,222 6,404 8,444 12,808 16,888 25,616 33,776 3,379,711 6,759,422 13,518,844 27,037,688 54,075,376

Collatz Trajectory (194 steps to reach 1)

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

54,075,376 27,037,688 13,518,844 6,759,422 3,379,711 10,139,134 5,069,567 15,208,702 7,604,351 22,813,054 11,406,527 34,219,582 17,109,791 51,329,374 25,664,687 76,994,062 38,497,031 115,491,094 57,745,547 173,236,642 86,618,321 259,854,964 129,927,482 64,963,741 194,891,224 97,445,612 48,722,806 24,361,403 73,084,210 36,542,105 109,626,316 54,813,158 27,406,579 82,219,738 41,109,869 123,329,608 61,664,804 30,832,402 15,416,201 46,248,604 23,124,302 11,562,151 34,686,454 17,343,227 52,029,682 26,014,841 78,044,524 39,022,262 19,511,131 58,533,394 29,266,697 87,800,092 43,900,046 21,950,023 65,850,070 32,925,035 98,775,106 49,387,553 148,162,660 74,081,330

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