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Atlas › Integer Profiles › Node 44,977,356

44,977,356

22 × 35 × 46273
Abundant Even Composite

44,977,356 factors as 2^2 × 3^5 × 46273. Its 36 positive divisors give a proper-divisor sum of 72,928,796, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 46273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 117,906,152
Proper Divisor Sum 72,928,796
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #44977333 ← → #44977357

Radix Representation

Decimal 44977356
Binary 10101011100100110011001100 (26 bits)
Octal 0o253446314
Hexadecimal 0x2AE4CCC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 46,273 92,546 138,819 185,092 277,638 416,457 555,276 832,914 1,249,371 1,665,828 2,498,742 3,748,113 4,997,484 7,496,226 11,244,339 14,992,452 22,488,678 44,977,356

Collatz Trajectory (67 steps to reach 1)

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

44,977,356 22,488,678 11,244,339 33,733,018 16,866,509 50,599,528 25,299,764 12,649,882 6,324,941 18,974,824 9,487,412 4,743,706 2,371,853 7,115,560 3,557,780 1,778,890 889,445 2,668,336 1,334,168 667,084 333,542 166,771 500,314 250,157 750,472 375,236 187,618 93,809 281,428 140,714 70,357 211,072 105,536 52,768 26,384 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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