λ
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Atlas › Integer Profiles › Node 15,429,010

15,429,010

2 × 5 × 31 × 71 × 701
Deficient Even Composite

15,429,010 factors as 2 × 5 × 31 × 71 × 701. Its 32 positive divisors give a proper-divisor sum of 13,684,334, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 71 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,113,344
Proper Divisor Sum 13,684,334
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15428993 ← → #15429017

Radix Representation

Decimal 15429010
Binary 111010110110110110010010 (24 bits)
Octal 0o72666622
Hexadecimal 0xEB6D92

Divisor Catalog (32)

1 2 5 10 31 62 71 142 155 310 355 701 710 1,402 2,201 3,505 4,402 7,010 11,005 21,731 22,010 43,462 49,771 99,542 108,655 217,310 248,855 497,710 1,542,901 3,085,802 7,714,505 15,429,010

Collatz Trajectory (73 steps to reach 1)

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

15,429,010 7,714,505 23,143,516 11,571,758 5,785,879 17,357,638 8,678,819 26,036,458 13,018,229 39,054,688 19,527,344 9,763,672 4,881,836 2,440,918 1,220,459 3,661,378 1,830,689 5,492,068 2,746,034 1,373,017 4,119,052 2,059,526 1,029,763 3,089,290 1,544,645 4,633,936 2,316,968 1,158,484 579,242 289,621 868,864 434,432 217,216 108,608 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454

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