λ
Math Directory

2,696,475

3 × 52 × 157 × 229
Deficient Odd Composite

2,696,475 factors as 3 × 5^2 × 157 × 229. Its 24 positive divisors give a proper-divisor sum of 1,809,685, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 157 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,506,160
Proper Divisor Sum 1,809,685
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2696471 ← → #2696483

Radix Representation

Decimal 2696475
Binary 1010010010010100011011 (22 bits)
Octal 0o12222433
Hexadecimal 0x29251B

Divisor Catalog (24)

1 3 5 15 25 75 157 229 471 687 785 1,145 2,355 3,435 3,925 5,725 11,775 17,175 35,953 107,859 179,765 539,295 898,825 2,696,475

Collatz Trajectory (249 steps to reach 1)

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

2,696,475 8,089,426 4,044,713 12,134,140 6,067,070 3,033,535 9,100,606 4,550,303 13,650,910 6,825,455 20,476,366 10,238,183 30,714,550 15,357,275 46,071,826 23,035,913 69,107,740 34,553,870 17,276,935 51,830,806 25,915,403 77,746,210 38,873,105 116,619,316 58,309,658 29,154,829 87,464,488 43,732,244 21,866,122 10,933,061 32,799,184 16,399,592 8,199,796 4,099,898 2,049,949 6,149,848 3,074,924 1,537,462 768,731 2,306,194 1,153,097 3,459,292 1,729,646 864,823 2,594,470 1,297,235 3,891,706 1,945,853 5,837,560 2,918,780 1,459,390 729,695 2,189,086 1,094,543 3,283,630 1,641,815 4,925,446 2,462,723 7,388,170 3,694,085

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