λ
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Atlas › Integer Profiles › Node 15,241,135

15,241,135

5 × 7 × 13 × 19 × 41 × 43
Deficient Odd Composite

15,241,135 factors as 5 × 7 × 13 × 19 × 41 × 43. Its 64 positive divisors give a proper-divisor sum of 9,595,985, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 19 × 41 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,837,120
Proper Divisor Sum 9,595,985
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15241133 ← → #15241141

Radix Representation

Decimal 15241135
Binary 111010001000111110101111 (24 bits)
Octal 0o72107657
Hexadecimal 0xE88FAF

Divisor Catalog (60 of 64)

1 5 7 13 19 35 41 43 65 91 95 133 205 215 247 287 301 455 533 559 665 779 817 1,235 1,435 1,505 1,729 1,763 2,665 2,795 3,731 3,895 3,913 4,085 5,453 5,719 8,645 8,815 10,127 10,621 12,341 18,655 19,565 22,919 27,265 28,595 33,497 50,635 53,105 61,705 70,889 74,347 114,595 160,433 167,485 234,479 354,445 371,735 435,461 802,165

Collatz Trajectory (81 steps to reach 1)

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

15,241,135 45,723,406 22,861,703 68,585,110 34,292,555 102,877,666 51,438,833 154,316,500 77,158,250 38,579,125 115,737,376 57,868,688 28,934,344 14,467,172 7,233,586 3,616,793 10,850,380 5,425,190 2,712,595 8,137,786 4,068,893 12,206,680 6,103,340 3,051,670 1,525,835 4,577,506 2,288,753 6,866,260 3,433,130 1,716,565 5,149,696 2,574,848 1,287,424 643,712 321,856 160,928 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448

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