57,737,006

2 × 137 × 210719

57,737,006 factors as 2 × 137 × 210719. Its 8 positive divisors give a proper-divisor sum of 29,501,074, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 137 × 210719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 87,238,080

Proper Divisor Sum 29,501,074

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #57736993 ← → #57737027

Radix Representation

Decimal	57737006
Binary	11011100001111111100101110 (26 bits)
Octal	0o334177456
Hexadecimal	0x370FF2E

Divisor Catalog (8)

1 2 137 274 210,719 421,438 28,868,503 57,737,006

Collatz Trajectory (238 steps to reach 1)

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

57,737,006 28,868,503 86,605,510 43,302,755 129,908,266 64,954,133 194,862,400 97,431,200 48,715,600 24,357,800 12,178,900 6,089,450 3,044,725 9,134,176 4,567,088 2,283,544 1,141,772 570,886 285,443 856,330 428,165 1,284,496 642,248 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054

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