82,696,211

13 × 17 × 383 × 977

82,696,211 factors as 13 × 17 × 383 × 977. Its 16 positive divisors give a proper-divisor sum of 11,942,893, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 13 × 17 × 383 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 94,639,104

Proper Divisor Sum 11,942,893

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #82696193 ← → #82696213

Radix Representation

Decimal	82696211
Binary	100111011011101100000010011 (27 bits)
Octal	0o473354023
Hexadecimal	0x4EDD813

Divisor Catalog (16)

1 13 17 221 383 977 4,979 6,511 12,701 16,609 84,643 215,917 374,191 4,864,483 6,361,247 82,696,211

Collatz Trajectory (104 steps to reach 1)

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

82,696,211 248,088,634 124,044,317 372,132,952 186,066,476 93,033,238 46,516,619 139,549,858 69,774,929 209,324,788 104,662,394 52,331,197 156,993,592 78,496,796 39,248,398 19,624,199 58,872,598 29,436,299 88,308,898 44,154,449 132,463,348 66,231,674 33,115,837 99,347,512 49,673,756 24,836,878 12,418,439 37,255,318 18,627,659 55,882,978 27,941,489 83,824,468 41,912,234 20,956,117 62,868,352 31,434,176 15,717,088 7,858,544 3,929,272 1,964,636 982,318 491,159 1,473,478 736,739 2,210,218 1,105,109 3,315,328 1,657,664 828,832 414,416 207,208 103,604 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570

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