λ
Ratio Atlas

57,718,409

7 × 19 × 372 × 317
Deficient Odd Composite

57,718,409 factors as 7 × 19 × 37^2 × 317. Its 24 positive divisors give a proper-divisor sum of 13,869,751, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 7 × 19 × 37^2 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 71,588,160
Proper Divisor Sum 13,869,751
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57718379 ← → #57718411

Radix Representation

Decimal 57718409
Binary 11011100001011011010001001 (26 bits)
Octal 0o334133211
Hexadecimal 0x370B689

Divisor Catalog (24)

Collatz Trajectory (75 steps to reach 1)

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

57,718,409 173,155,228 86,577,614 43,288,807 129,866,422 64,933,211 194,799,634 97,399,817 292,199,452 146,099,726 73,049,863 219,149,590 109,574,795 328,724,386 164,362,193 493,086,580 246,543,290 123,271,645 369,814,936 184,907,468 92,453,734 46,226,867 138,680,602 69,340,301 208,020,904 104,010,452 52,005,226 26,002,613 78,007,840 39,003,920 19,501,960 9,750,980 4,875,490 2,437,745 7,313,236 3,656,618 1,828,309 5,484,928 2,742,464 1,371,232 685,616 342,808 171,404 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696

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