λ
Harmonic Matrix

8,727,311

137 × 63703
Deficient Odd Composite

8,727,311 has digital root 2. The neighboring primes are 8727287 and 8727317; its proper-divisor sum differs from the starting integer by -8,663,470.

Prime Factor Structure

Factorization String 137 × 63703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,791,152
Proper Divisor Sum 63,841
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8727287 ← → #8727317

Radix Representation

Decimal 8727311
Binary 100001010010101100001111 (24 bits)
Octal 0o41225417
Hexadecimal 0x852B0F

Divisor Catalog (4)

1 137 63,703 8,727,311

Collatz Trajectory (88 steps to reach 1)

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

8,727,311 26,181,934 13,090,967 39,272,902 19,636,451 58,909,354 29,454,677 88,364,032 44,182,016 22,091,008 11,045,504 5,522,752 2,761,376 1,380,688 690,344 345,172 172,586 86,293 258,880 129,440 64,720 32,360 16,180 8,090 4,045 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 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

More profiles

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