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Atlas › Integer Profiles › Node 12,295,478

12,295,478

2 × 13 × 23 × 29 × 709
Deficient Even Composite

12,295,478 factors as 2 × 13 × 23 × 29 × 709. Its 32 positive divisors give a proper-divisor sum of 9,174,922, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 29 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,470,400
Proper Divisor Sum 9,174,922
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #12295469 ← → #12295519

Radix Representation

Decimal 12295478
Binary 101110111001110100110110 (24 bits)
Octal 0o56716466
Hexadecimal 0xBB9D36

Divisor Catalog (32)

1 2 13 23 26 29 46 58 299 377 598 667 709 754 1,334 1,418 8,671 9,217 16,307 17,342 18,434 20,561 32,614 41,122 211,991 267,293 423,982 472,903 534,586 945,806 6,147,739 12,295,478

Collatz Trajectory (197 steps to reach 1)

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

12,295,478 6,147,739 18,443,218 9,221,609 27,664,828 13,832,414 6,916,207 20,748,622 10,374,311 31,122,934 15,561,467 46,684,402 23,342,201 70,026,604 35,013,302 17,506,651 52,519,954 26,259,977 78,779,932 39,389,966 19,694,983 59,084,950 29,542,475 88,627,426 44,313,713 132,941,140 66,470,570 33,235,285 99,705,856 49,852,928 24,926,464 12,463,232 6,231,616 3,115,808 1,557,904 778,952 389,476 194,738 97,369 292,108 146,054 73,027 219,082 109,541 328,624 164,312 82,156 41,078 20,539 61,618 30,809 92,428 46,214 23,107 69,322 34,661 103,984 51,992 25,996 12,998

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