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Atlas › Integer Profiles › Node 3,139,731

3,139,731

32 × 7 × 19 × 43 × 61
Deficient Odd Composite

3,139,731 factors as 3^2 × 7 × 19 × 43 × 61. Its 48 positive divisors give a proper-divisor sum of 2,534,509, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 43 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,674,240
Proper Divisor Sum 2,534,509
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3139727 ← → #3139733

Radix Representation

Decimal 3139731
Binary 1011111110100010010011 (22 bits)
Octal 0o13764223
Hexadecimal 0x2FE893

Divisor Catalog (48)

1 3 7 9 19 21 43 57 61 63 129 133 171 183 301 387 399 427 549 817 903 1,159 1,197 1,281 2,451 2,623 2,709 3,477 3,843 5,719 7,353 7,869 8,113 10,431 17,157 18,361 23,607 24,339 49,837 51,471 55,083 73,017 149,511 165,249 348,859 448,533 1,046,577 3,139,731

Collatz Trajectory (151 steps to reach 1)

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

3,139,731 9,419,194 4,709,597 14,128,792 7,064,396 3,532,198 1,766,099 5,298,298 2,649,149 7,947,448 3,973,724 1,986,862 993,431 2,980,294 1,490,147 4,470,442 2,235,221 6,705,664 3,352,832 1,676,416 838,208 419,104 209,552 104,776 52,388 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925

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