4,122,628

2² × 31 × 33247

4,122,628 factors as 2^2 × 31 × 33247. Its 12 positive divisors give a proper-divisor sum of 3,324,924, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 33247

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,447,552

Proper Divisor Sum 3,324,924

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4122623 ← → #4122631

Radix Representation

Decimal	4122628
Binary	1111101110100000000100 (22 bits)
Octal	0o17564004
Hexadecimal	0x3EE804

Divisor Catalog (12)

1 2 4 31 62 124 33,247 66,494 132,988 1,030,657 2,061,314 4,122,628

Collatz Trajectory (92 steps to reach 1)

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

4,122,628 2,061,314 1,030,657 3,091,972 1,545,986 772,993 2,318,980 1,159,490 579,745 1,739,236 869,618 434,809 1,304,428 652,214 326,107 978,322 489,161 1,467,484 733,742 366,871 1,100,614 550,307 1,650,922 825,461 2,476,384 1,238,192 619,096 309,548 154,774 77,387 232,162 116,081 348,244 174,122 87,061 261,184 130,592 65,296 32,648 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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