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Atlas › Integer Profiles › Node 45,307,552

45,307,552

25 × 19 × 43 × 1733
Abundant Even Composite

45,307,552 factors as 2^5 × 19 × 43 × 1733. Its 48 positive divisors give a proper-divisor sum of 50,825,408, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 43 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,132,960
Proper Divisor Sum 50,825,408
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #45307547 ← → #45307553

Radix Representation

Decimal 45307552
Binary 10101100110101011010100000 (26 bits)
Octal 0o254653240
Hexadecimal 0x2B356A0

Divisor Catalog (48)

1 2 4 8 16 19 32 38 43 76 86 152 172 304 344 608 688 817 1,376 1,634 1,733 3,268 3,466 6,536 6,932 13,072 13,864 26,144 27,728 32,927 55,456 65,854 74,519 131,708 149,038 263,416 298,076 526,832 596,152 1,053,664 1,192,304 1,415,861 2,384,608 2,831,722 5,663,444 11,326,888 22,653,776 45,307,552

Collatz Trajectory (111 steps to reach 1)

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

45,307,552 22,653,776 11,326,888 5,663,444 2,831,722 1,415,861 4,247,584 2,123,792 1,061,896 530,948 265,474 132,737 398,212 199,106 99,553 298,660 149,330 74,665 223,996 111,998 55,999 167,998 83,999 251,998 125,999 377,998 188,999 566,998 283,499 850,498 425,249 1,275,748 637,874 318,937 956,812 478,406 239,203 717,610 358,805 1,076,416 538,208 269,104 134,552 67,276 33,638 16,819 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331

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