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Atlas › Integer Profiles › Node 47,410,924

47,410,924

22 × 11 × 412 × 641
Deficient Even Composite

47,410,924 factors as 2^2 × 11 × 41^2 × 641. Its 36 positive divisors give a proper-divisor sum of 45,507,020, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 41^2 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 92,917,944
Proper Divisor Sum 45,507,020
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #47410907 ← → #47410927

Radix Representation

Decimal 47410924
Binary 10110100110110111011101100 (26 bits)
Octal 0o264667354
Hexadecimal 0x2D36EEC

Divisor Catalog (36)

1 2 4 11 22 41 44 82 164 451 641 902 1,282 1,681 1,804 2,564 3,362 6,724 7,051 14,102 18,491 26,281 28,204 36,982 52,562 73,964 105,124 289,091 578,182 1,077,521 1,156,364 2,155,042 4,310,084 11,852,731 23,705,462 47,410,924

Collatz Trajectory (124 steps to reach 1)

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

47,410,924 23,705,462 11,852,731 35,558,194 17,779,097 53,337,292 26,668,646 13,334,323 40,002,970 20,001,485 60,004,456 30,002,228 15,001,114 7,500,557 22,501,672 11,250,836 5,625,418 2,812,709 8,438,128 4,219,064 2,109,532 1,054,766 527,383 1,582,150 791,075 2,373,226 1,186,613 3,559,840 1,779,920 889,960 444,980 222,490 111,245 333,736 166,868 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356

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