8,977,084

2² × 23 × 97577

8,977,084 factors as 2^2 × 23 × 97577. Its 12 positive divisors give a proper-divisor sum of 7,416,020, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 97577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,393,104

Proper Divisor Sum 7,416,020

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8977069 ← → #8977091

Radix Representation

Decimal	8977084
Binary	100010001111101010111100 (24 bits)
Octal	0o42175274
Hexadecimal	0x88FABC

Divisor Catalog (12)

1 2 4 23 46 92 97,577 195,154 390,308 2,244,271 4,488,542 8,977,084

Collatz Trajectory (212 steps to reach 1)

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

8,977,084 4,488,542 2,244,271 6,732,814 3,366,407 10,099,222 5,049,611 15,148,834 7,574,417 22,723,252 11,361,626 5,680,813 17,042,440 8,521,220 4,260,610 2,130,305 6,390,916 3,195,458 1,597,729 4,793,188 2,396,594 1,198,297 3,594,892 1,797,446 898,723 2,696,170 1,348,085 4,044,256 2,022,128 1,011,064 505,532 252,766 126,383 379,150 189,575 568,726 284,363 853,090 426,545 1,279,636 639,818 319,909 959,728 479,864 239,932 119,966 59,983 179,950 89,975 269,926 134,963 404,890 202,445 607,336 303,668 151,834 75,917 227,752 113,876 56,938

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