8,202,002

2 × 239 × 17159

8,202,002 factors as 2 × 239 × 17159. Its 8 positive divisors give a proper-divisor sum of 4,153,198, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 239 × 17159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,355,200

Proper Divisor Sum 4,153,198

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #8201989 ← → #8202013

Radix Representation

Decimal	8202002
Binary	11111010010011100010010 (23 bits)
Octal	0o37223422
Hexadecimal	0x7D2712

Divisor Catalog (8)

1 2 239 478 17,159 34,318 4,101,001 8,202,002

Collatz Trajectory (191 steps to reach 1)

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

8,202,002 4,101,001 12,303,004 6,151,502 3,075,751 9,227,254 4,613,627 13,840,882 6,920,441 20,761,324 10,380,662 5,190,331 15,570,994 7,785,497 23,356,492 11,678,246 5,839,123 17,517,370 8,758,685 26,276,056 13,138,028 6,569,014 3,284,507 9,853,522 4,926,761 14,780,284 7,390,142 3,695,071 11,085,214 5,542,607 16,627,822 8,313,911 24,941,734 12,470,867 37,412,602 18,706,301 56,118,904 28,059,452 14,029,726 7,014,863 21,044,590 10,522,295 31,566,886 15,783,443 47,350,330 23,675,165 71,025,496 35,512,748 17,756,374 8,878,187 26,634,562 13,317,281 39,951,844 19,975,922 9,987,961 29,963,884 14,981,942 7,490,971 22,472,914 11,236,457

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