2,515,924

2² × 23² × 29 × 41

For 2,515,924, the 36 positive divisors have a total of 4,877,460. Removing 2,515,924 leaves 2,361,536, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 23^2 × 29 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,877,460

Proper Divisor Sum 2,361,536

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2515921 ← → #2515951

Radix Representation

Decimal	2515924
Binary	1001100110001111010100 (22 bits)
Octal	0o11461724
Hexadecimal	0x2663D4

Divisor Catalog (36)

1 2 4 23 29 41 46 58 82 92 116 164 529 667 943 1,058 1,189 1,334 1,886 2,116 2,378 2,668 3,772 4,756 15,341 21,689 27,347 30,682 43,378 54,694 61,364 86,756 109,388 628,981 1,257,962 2,515,924

Collatz Trajectory (143 steps to reach 1)

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

2,515,924 1,257,962 628,981 1,886,944 943,472 471,736 235,868 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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