80,974,999

7² × 61 × 27091

80,974,999 factors as 7^2 × 61 × 27091. Its 12 positive divisors give a proper-divisor sum of 14,768,129, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 7^2 × 61 × 27091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 95,743,128

Proper Divisor Sum 14,768,129

Digit Sum / Digital Root 55 (Root: 1)

Adjacent Primes #80974997 ← → #80975021

Radix Representation

Decimal	80974999
Binary	100110100111001010010010111 (27 bits)
Octal	0o464712227
Hexadecimal	0x4D39497

Divisor Catalog (12)

1 7 49 61 427 2,989 27,091 189,637 1,327,459 1,652,551 11,567,857 80,974,999

Collatz Trajectory (179 steps to reach 1)

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

80,974,999 242,924,998 121,462,499 364,387,498 182,193,749 546,581,248 273,290,624 136,645,312 68,322,656 34,161,328 17,080,664 8,540,332 4,270,166 2,135,083 6,405,250 3,202,625 9,607,876 4,803,938 2,401,969 7,205,908 3,602,954 1,801,477 5,404,432 2,702,216 1,351,108 675,554 337,777 1,013,332 506,666 253,333 760,000 380,000 190,000 95,000 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

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