8,173,077

3 × 11 × 53 × 4673

8,173,077 has digital root 6. The neighboring primes are 8173051 and 8173079; its proper-divisor sum differs from the starting integer by -4,231,146.

Prime Factor Structure

Factorization String 3 × 11 × 53 × 4673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,115,008

Proper Divisor Sum 3,941,931

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8173051 ← → #8173079

Radix Representation

Decimal	8173077
Binary	11111001011011000010101 (23 bits)
Octal	0o37133025
Hexadecimal	0x7CB615

Divisor Catalog (16)

1 3 11 33 53 159 583 1,749 4,673 14,019 51,403 154,209 247,669 743,007 2,724,359 8,173,077

Collatz Trajectory (106 steps to reach 1)

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

8,173,077 24,519,232 12,259,616 6,129,808 3,064,904 1,532,452 766,226 383,113 1,149,340 574,670 287,335 862,006 431,003 1,293,010 646,505 1,939,516 969,758 484,879 1,454,638 727,319 2,181,958 1,090,979 3,272,938 1,636,469 4,909,408 2,454,704 1,227,352 613,676 306,838 153,419 460,258 230,129 690,388 345,194 172,597 517,792 258,896 129,448 64,724 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

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