4,132,628

2² × 61 × 16937

4,132,628 factors as 2^2 × 61 × 16937. Its 12 positive divisors give a proper-divisor sum of 3,218,464, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 16937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,351,092

Proper Divisor Sum 3,218,464

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4132621 ← → #4132637

Radix Representation

Decimal	4132628
Binary	1111110000111100010100 (22 bits)
Octal	0o17607424
Hexadecimal	0x3F0F14

Divisor Catalog (12)

1 2 4 61 122 244 16,937 33,874 67,748 1,033,157 2,066,314 4,132,628

Collatz Trajectory (79 steps to reach 1)

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

4,132,628 2,066,314 1,033,157 3,099,472 1,549,736 774,868 387,434 193,717 581,152 290,576 145,288 72,644 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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