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Atlas › Integer Profiles › Node 3,654,028

3,654,028

22 × 72 × 103 × 181
Abundant Even Composite

3,654,028 factors as 2^2 × 7^2 × 103 × 181. Its 36 positive divisors give a proper-divisor sum of 3,898,244, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 103 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,552,272
Proper Divisor Sum 3,898,244
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3654017 ← → #3654037

Radix Representation

Decimal 3654028
Binary 1101111100000110001100 (22 bits)
Octal 0o15740614
Hexadecimal 0x37C18C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 103 181 196 206 362 412 721 724 1,267 1,442 2,534 2,884 5,047 5,068 8,869 10,094 17,738 18,643 20,188 35,476 37,286 74,572 130,501 261,002 522,004 913,507 1,827,014 3,654,028

Collatz Trajectory (221 steps to reach 1)

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

3,654,028 1,827,014 913,507 2,740,522 1,370,261 4,110,784 2,055,392 1,027,696 513,848 256,924 128,462 64,231 192,694 96,347 289,042 144,521 433,564 216,782 108,391 325,174 162,587 487,762 243,881 731,644 365,822 182,911 548,734 274,367 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447 3,337,342 1,668,671 5,006,014

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