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Atlas › Integer Profiles › Node 45,307,544

45,307,544

23 × 67 × 137 × 617
Deficient Even Composite

45,307,544 factors as 2^3 × 67 × 137 × 617. Its 32 positive divisors give a proper-divisor sum of 41,682,136, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 67 × 137 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,989,680
Proper Divisor Sum 41,682,136
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #45307519 ← → #45307547

Radix Representation

Decimal 45307544
Binary 10101100110101011010011000 (26 bits)
Octal 0o254653230
Hexadecimal 0x2B35698

Divisor Catalog (32)

1 2 4 8 67 134 137 268 274 536 548 617 1,096 1,234 2,468 4,936 9,179 18,358 36,716 41,339 73,432 82,678 84,529 165,356 169,058 330,712 338,116 676,232 5,663,443 11,326,886 22,653,772 45,307,544

Collatz Trajectory (142 steps to reach 1)

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

45,307,544 22,653,772 11,326,886 5,663,443 16,990,330 8,495,165 25,485,496 12,742,748 6,371,374 3,185,687 9,557,062 4,778,531 14,335,594 7,167,797 21,503,392 10,751,696 5,375,848 2,687,924 1,343,962 671,981 2,015,944 1,007,972 503,986 251,993 755,980 377,990 188,995 566,986 283,493 850,480 425,240 212,620 106,310 53,155 159,466 79,733 239,200 119,600 59,800 29,900 14,950 7,475 22,426 11,213 33,640 16,820 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990

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