7,582,015

5 × 7³ × 4421

Prime Factor Structure

Factorization String 5 × 7^3 × 4421

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,612,800

Proper Divisor Sum 3,030,785

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7582013 ← → #7582049

Radix Representation

Decimal	7582015
Binary	11100111011000100111111 (23 bits)
Octal	0o34730477
Hexadecimal	0x73B13F

Divisor Catalog (16)

1 5 7 35 49 245 343 1,715 4,421 22,105 30,947 154,735 216,629 1,083,145 1,516,403 7,582,015

Collatz Trajectory (266 steps to reach 1)

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

7,582,015 22,746,046 11,373,023 34,119,070 17,059,535 51,178,606 25,589,303 76,767,910 38,383,955 115,151,866 57,575,933 172,727,800 86,363,900 43,181,950 21,590,975 64,772,926 32,386,463 97,159,390 48,579,695 145,739,086 72,869,543 218,608,630 109,304,315 327,912,946 163,956,473 491,869,420 245,934,710 122,967,355 368,902,066 184,451,033 553,353,100 276,676,550 138,338,275 415,014,826 207,507,413 622,522,240 311,261,120 155,630,560 77,815,280 38,907,640 19,453,820 9,726,910 4,863,455 14,590,366 7,295,183 21,885,550 10,942,775 32,828,326 16,414,163 49,242,490 24,621,245 73,863,736 36,931,868 18,465,934 9,232,967 27,698,902 13,849,451 41,548,354 20,774,177 62,322,532

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