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Atlas › Integer Profiles › Node 4,425,484

4,425,484

22 × 72 × 67 × 337
Abundant Even Composite

4,425,484 factors as 2^2 × 7^2 × 67 × 337. Its 36 positive divisors give a proper-divisor sum of 4,745,132, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 67 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,170,616
Proper Divisor Sum 4,745,132
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4425437 ← → #4425497

Radix Representation

Decimal 4425484
Binary 10000111000011100001100 (23 bits)
Octal 0o20703414
Hexadecimal 0x43870C

Divisor Catalog (36)

1 2 4 7 14 28 49 67 98 134 196 268 337 469 674 938 1,348 1,876 2,359 3,283 4,718 6,566 9,436 13,132 16,513 22,579 33,026 45,158 66,052 90,316 158,053 316,106 632,212 1,106,371 2,212,742 4,425,484

Collatz Trajectory (242 steps to reach 1)

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

4,425,484 2,212,742 1,106,371 3,319,114 1,659,557 4,978,672 2,489,336 1,244,668 622,334 311,167 933,502 466,751 1,400,254 700,127 2,100,382 1,050,191 3,150,574 1,575,287 4,725,862 2,362,931 7,088,794 3,544,397 10,633,192 5,316,596 2,658,298 1,329,149 3,987,448 1,993,724 996,862 498,431 1,495,294 747,647 2,242,942 1,121,471 3,364,414 1,682,207 5,046,622 2,523,311 7,569,934 3,784,967 11,354,902 5,677,451 17,032,354 8,516,177 25,548,532 12,774,266 6,387,133 19,161,400 9,580,700 4,790,350 2,395,175 7,185,526 3,592,763 10,778,290 5,389,145 16,167,436 8,083,718 4,041,859 12,125,578 6,062,789

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