4,131,628

2² × 23 × 44909

4,131,628 factors as 2^2 × 23 × 44909. Its 12 positive divisors give a proper-divisor sum of 3,413,252, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 44909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,544,880

Proper Divisor Sum 3,413,252

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4131623 ← → #4131637

Radix Representation

Decimal	4131628
Binary	1111110000101100101100 (22 bits)
Octal	0o17605454
Hexadecimal	0x3F0B2C

Divisor Catalog (12)

1 2 4 23 46 92 44,909 89,818 179,636 1,032,907 2,065,814 4,131,628

Collatz Trajectory (198 steps to reach 1)

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

4,131,628 2,065,814 1,032,907 3,098,722 1,549,361 4,648,084 2,324,042 1,162,021 3,486,064 1,743,032 871,516 435,758 217,879 653,638 326,819 980,458 490,229 1,470,688 735,344 367,672 183,836 91,918 45,959 137,878 68,939 206,818 103,409 310,228 155,114 77,557 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210

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