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Atlas › Integer Profiles › Node 43,774,514

43,774,514

2 × 7 × 29 × 137 × 787
Deficient Even Composite

43,774,514 factors as 2 × 7 × 29 × 137 × 787. Its 32 positive divisors give a proper-divisor sum of 34,521,166, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 137 × 787
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,295,680
Proper Divisor Sum 34,521,166
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #43774513 ← → #43774529

Radix Representation

Decimal 43774514
Binary 10100110111111001000110010 (26 bits)
Octal 0o246771062
Hexadecimal 0x29BF232

Divisor Catalog (32)

1 2 7 14 29 58 137 203 274 406 787 959 1,574 1,918 3,973 5,509 7,946 11,018 22,823 27,811 45,646 55,622 107,819 159,761 215,638 319,522 754,733 1,509,466 3,126,751 6,253,502 21,887,257 43,774,514

Collatz Trajectory (142 steps to reach 1)

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

43,774,514 21,887,257 65,661,772 32,830,886 16,415,443 49,246,330 24,623,165 73,869,496 36,934,748 18,467,374 9,233,687 27,701,062 13,850,531 41,551,594 20,775,797 62,327,392 31,163,696 15,581,848 7,790,924 3,895,462 1,947,731 5,843,194 2,921,597 8,764,792 4,382,396 2,191,198 1,095,599 3,286,798 1,643,399 4,930,198 2,465,099 7,395,298 3,697,649 11,092,948 5,546,474 2,773,237 8,319,712 4,159,856 2,079,928 1,039,964 519,982 259,991 779,974 389,987 1,169,962 584,981 1,754,944 877,472 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276

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