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Atlas › Integer Profiles › Node 3,910,356

3,910,356

22 × 38 × 149
Abundant Even Composite

3,910,356 factors as 2^2 × 3^8 × 149. Its 54 positive divisors give a proper-divisor sum of 6,422,694, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3^8 × 149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 10,333,050
Proper Divisor Sum 6,422,694
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3910351 ← → #3910363

Radix Representation

Decimal 3910356
Binary 1110111010101011010100 (22 bits)
Octal 0o16725324
Hexadecimal 0x3BAAD4

Divisor Catalog (54)

1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 447 486 596 729 894 972 1,341 1,458 1,788 2,187 2,682 2,916 4,023 4,374 5,364 6,561 8,046 8,748 12,069 13,122 16,092 24,138 26,244 36,207 48,276 72,414 108,621 144,828 217,242 325,863 434,484 651,726 977,589 1,303,452 1,955,178 3,910,356

Collatz Trajectory (185 steps to reach 1)

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

3,910,356 1,955,178 977,589 2,932,768 1,466,384 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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