82,188,827

7² × 1677323

82,188,827 factors as 7^2 × 1677323. Its 6 positive divisors give a proper-divisor sum of 13,418,641, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 7^2 × 1677323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 95,607,468

Proper Divisor Sum 13,418,641

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #82188817 ← → #82188839

Radix Representation

Decimal	82188827
Binary	100111001100001101000011011 (27 bits)
Octal	0o471415033
Hexadecimal	0x4E61A1B

Divisor Catalog (6)

1 7 49 1,677,323 11,741,261 82,188,827

Collatz Trajectory (130 steps to reach 1)

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

82,188,827 246,566,482 123,283,241 369,849,724 184,924,862 92,462,431 277,387,294 138,693,647 416,080,942 208,040,471 624,121,414 312,060,707 936,182,122 468,091,061 1,404,273,184 702,136,592 351,068,296 175,534,148 87,767,074 43,883,537 131,650,612 65,825,306 32,912,653 98,737,960 49,368,980 24,684,490 12,342,245 37,026,736 18,513,368 9,256,684 4,628,342 2,314,171 6,942,514 3,471,257 10,413,772 5,206,886 2,603,443 7,810,330 3,905,165 11,715,496 5,857,748 2,928,874 1,464,437 4,393,312 2,196,656 1,098,328 549,164 274,582 137,291 411,874 205,937 617,812 308,906 154,453 463,360 231,680 115,840 57,920 28,960 14,480

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