λ
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Atlas › Integer Profiles › Node 57,346,004

57,346,004

22 × 37 × 43 × 9011
Deficient Even Composite

57,346,004 factors as 2^2 × 37 × 43 × 9011. Its 24 positive divisors give a proper-divisor sum of 48,130,444, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 43 × 9011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 105,476,448
Proper Divisor Sum 48,130,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #57345997 ← → #57346007

Radix Representation

Decimal 57346004
Binary 11011010110000011111010100 (26 bits)
Octal 0o332603724
Hexadecimal 0x36B07D4

Divisor Catalog (24)

1 2 4 37 43 74 86 148 172 1,591 3,182 6,364 9,011 18,022 36,044 333,407 387,473 666,814 774,946 1,333,628 1,549,892 14,336,501 28,673,002 57,346,004

Collatz Trajectory (238 steps to reach 1)

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

57,346,004 28,673,002 14,336,501 43,009,504 21,504,752 10,752,376 5,376,188 2,688,094 1,344,047 4,032,142 2,016,071 6,048,214 3,024,107 9,072,322 4,536,161 13,608,484 6,804,242 3,402,121 10,206,364 5,103,182 2,551,591 7,654,774 3,827,387 11,482,162 5,741,081 17,223,244 8,611,622 4,305,811 12,917,434 6,458,717 19,376,152 9,688,076 4,844,038 2,422,019 7,266,058 3,633,029 10,899,088 5,449,544 2,724,772 1,362,386 681,193 2,043,580 1,021,790 510,895 1,532,686 766,343 2,299,030 1,149,515 3,448,546 1,724,273 5,172,820 2,586,410 1,293,205 3,879,616 1,939,808 969,904 484,952 242,476 121,238 60,619

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