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Atlas › Integer Profiles › Node 4,603,716

4,603,716

22 × 34 × 13 × 1093
Abundant Even Composite

4,603,716 factors as 2^2 × 3^4 × 13 × 1093. Its 60 positive divisors give a proper-divisor sum of 8,368,936, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,972,652
Proper Divisor Sum 8,368,936
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4603699 ← → #4603723

Radix Representation

Decimal 4603716
Binary 10001100011111101000100 (23 bits)
Octal 0o21437504
Hexadecimal 0x463F44

Divisor Catalog (60)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1,053 1,093 1,404 2,106 2,186 3,279 4,212 4,372 6,558 9,837 13,116 14,209 19,674 28,418 29,511 39,348 42,627 56,836 59,022 85,254 88,533 118,044 127,881 170,508 177,066 255,762 354,132 383,643 511,524 767,286 1,150,929 1,534,572 2,301,858 4,603,716

Collatz Trajectory (149 steps to reach 1)

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

4,603,716 2,301,858 1,150,929 3,452,788 1,726,394 863,197 2,589,592 1,294,796 647,398 323,699 971,098 485,549 1,456,648 728,324 364,162 182,081 546,244 273,122 136,561 409,684 204,842 102,421 307,264 153,632 76,816 38,408 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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