λ
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Atlas › Integer Profiles › Node 15,440,595

15,440,595

3 × 5 × 59 × 73 × 239
Deficient Odd Composite

15,440,595 factors as 3 × 5 × 59 × 73 × 239. Its 32 positive divisors give a proper-divisor sum of 10,133,805, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 5 × 59 × 73 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,574,400
Proper Divisor Sum 10,133,805
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15440563 ← → #15440599

Radix Representation

Decimal 15440595
Binary 111010111001101011010011 (24 bits)
Octal 0o72715323
Hexadecimal 0xEB9AD3

Divisor Catalog (32)

1 3 5 15 59 73 177 219 239 295 365 717 885 1,095 1,195 3,585 4,307 12,921 14,101 17,447 21,535 42,303 52,341 64,605 70,505 87,235 211,515 261,705 1,029,373 3,088,119 5,146,865 15,440,595

Collatz Trajectory (161 steps to reach 1)

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

15,440,595 46,321,786 23,160,893 69,482,680 34,741,340 17,370,670 8,685,335 26,056,006 13,028,003 39,084,010 19,542,005 58,626,016 29,313,008 14,656,504 7,328,252 3,664,126 1,832,063 5,496,190 2,748,095 8,244,286 4,122,143 12,366,430 6,183,215 18,549,646 9,274,823 27,824,470 13,912,235 41,736,706 20,868,353 62,605,060 31,302,530 15,651,265 46,953,796 23,476,898 11,738,449 35,215,348 17,607,674 8,803,837 26,411,512 13,205,756 6,602,878 3,301,439 9,904,318 4,952,159 14,856,478 7,428,239 22,284,718 11,142,359 33,427,078 16,713,539 50,140,618 25,070,309 75,210,928 37,605,464 18,802,732 9,401,366 4,700,683 14,102,050 7,051,025 21,153,076

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