3,697,048

2³ × 462131

3,697,048 factors as 2^3 × 462131. Its 8 positive divisors give a proper-divisor sum of 3,234,932, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 462131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,931,980

Proper Divisor Sum 3,234,932

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3697037 ← → #3697049

Radix Representation

Decimal	3697048
Binary	1110000110100110011000 (22 bits)
Octal	0o16064630
Hexadecimal	0x386998

Divisor Catalog (8)

1 2 4 8 462,131 924,262 1,848,524 3,697,048

Collatz Trajectory (159 steps to reach 1)

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

3,697,048 1,848,524 924,262 462,131 1,386,394 693,197 2,079,592 1,039,796 519,898 259,949 779,848 389,924 194,962 97,481 292,444 146,222 73,111 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910

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