8,002,597

17 × 23 × 97 × 211

8,002,597 factors as 17 × 23 × 97 × 211. Its 16 positive divisors give a proper-divisor sum of 972,635, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 17 × 23 × 97 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,975,232

Proper Divisor Sum 972,635

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8002573 ← → #8002627

Radix Representation

Decimal	8002597
Binary	11110100001110000100101 (23 bits)
Octal	0o36416045
Hexadecimal	0x7A1C25

Divisor Catalog (16)

1 17 23 97 211 391 1,649 2,231 3,587 4,853 20,467 37,927 82,501 347,939 470,741 8,002,597

Collatz Trajectory (253 steps to reach 1)

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

8,002,597 24,007,792 12,003,896 6,001,948 3,000,974 1,500,487 4,501,462 2,250,731 6,752,194 3,376,097 10,128,292 5,064,146 2,532,073 7,596,220 3,798,110 1,899,055 5,697,166 2,848,583 8,545,750 4,272,875 12,818,626 6,409,313 19,227,940 9,613,970 4,806,985 14,420,956 7,210,478 3,605,239 10,815,718 5,407,859 16,223,578 8,111,789 24,335,368 12,167,684 6,083,842 3,041,921 9,125,764 4,562,882 2,281,441 6,844,324 3,422,162 1,711,081 5,133,244 2,566,622 1,283,311 3,849,934 1,924,967 5,774,902 2,887,451 8,662,354 4,331,177 12,993,532 6,496,766 3,248,383 9,745,150 4,872,575 14,617,726 7,308,863 21,926,590 10,963,295

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