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Atlas › Integer Profiles › Node 43,313,655

43,313,655

3 × 5 × 7 × 11 × 37501
Deficient Odd Composite

43,313,655 factors as 3 × 5 × 7 × 11 × 37501. Its 32 positive divisors give a proper-divisor sum of 43,090,953, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 37501
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,404,608
Proper Divisor Sum 43,090,953
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #43313653 ← → #43313681

Radix Representation

Decimal 43313655
Binary 10100101001110100111110111 (26 bits)
Octal 0o245164767
Hexadecimal 0x294E9F7

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 37,501 112,503 187,505 262,507 412,511 562,515 787,521 1,237,533 1,312,535 2,062,555 2,887,577 3,937,605 6,187,665 8,662,731 14,437,885 43,313,655

Collatz Trajectory (235 steps to reach 1)

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

43,313,655 129,940,966 64,970,483 194,911,450 97,455,725 292,367,176 146,183,588 73,091,794 36,545,897 109,637,692 54,818,846 27,409,423 82,228,270 41,114,135 123,342,406 61,671,203 185,013,610 92,506,805 277,520,416 138,760,208 69,380,104 34,690,052 17,345,026 8,672,513 26,017,540 13,008,770 6,504,385 19,513,156 9,756,578 4,878,289 14,634,868 7,317,434 3,658,717 10,976,152 5,488,076 2,744,038 1,372,019 4,116,058 2,058,029 6,174,088 3,087,044 1,543,522 771,761 2,315,284 1,157,642 578,821 1,736,464 868,232 434,116 217,058 108,529 325,588 162,794 81,397 244,192 122,096 61,048 30,524 15,262 7,631

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