13,082,398

2 × 7 × 109 × 8573

13,082,398 factors as 2 × 7 × 109 × 8573. Its 16 positive divisors give a proper-divisor sum of 9,552,962, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 7 × 109 × 8573

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,635,360

Proper Divisor Sum 9,552,962

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13082387 ← → #13082411

Radix Representation

Decimal	13082398
Binary	110001111001111100011110 (24 bits)
Octal	0o61717436
Hexadecimal	0xC79F1E

Divisor Catalog (16)

1 2 7 14 109 218 763 1,526 8,573 17,146 60,011 120,022 934,457 1,868,914 6,541,199 13,082,398

Collatz Trajectory (104 steps to reach 1)

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

13,082,398 6,541,199 19,623,598 9,811,799 29,435,398 14,717,699 44,153,098 22,076,549 66,229,648 33,114,824 16,557,412 8,278,706 4,139,353 12,418,060 6,209,030 3,104,515 9,313,546 4,656,773 13,970,320 6,985,160 3,492,580 1,746,290 873,145 2,619,436 1,309,718 654,859 1,964,578 982,289 2,946,868 1,473,434 736,717 2,210,152 1,105,076 552,538 276,269 828,808 414,404 207,202 103,601 310,804 155,402 77,701 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984

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