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3,934,665

32 × 5 × 7 × 12491
Deficient Odd Composite

3,934,665 factors as 3^2 × 5 × 7 × 12491. Its 24 positive divisors give a proper-divisor sum of 3,860,343, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 12491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,795,008
Proper Divisor Sum 3,860,343
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3934639 ← → #3934669

Radix Representation

Decimal 3934665
Binary 1111000000100111001001 (22 bits)
Octal 0o17004711
Hexadecimal 0x3C09C9

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 12,491 37,473 62,455 87,437 112,419 187,365 262,311 437,185 562,095 786,933 1,311,555 3,934,665

Collatz Trajectory (154 steps to reach 1)

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

3,934,665 11,803,996 5,901,998 2,950,999 8,852,998 4,426,499 13,279,498 6,639,749 19,919,248 9,959,624 4,979,812 2,489,906 1,244,953 3,734,860 1,867,430 933,715 2,801,146 1,400,573 4,201,720 2,100,860 1,050,430 525,215 1,575,646 787,823 2,363,470 1,181,735 3,545,206 1,772,603 5,317,810 2,658,905 7,976,716 3,988,358 1,994,179 5,982,538 2,991,269 8,973,808 4,486,904 2,243,452 1,121,726 560,863 1,682,590 841,295 2,523,886 1,261,943 3,785,830 1,892,915 5,678,746 2,839,373 8,518,120 4,259,060 2,129,530 1,064,765 3,194,296 1,597,148 798,574 399,287 1,197,862 598,931 1,796,794 898,397

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