λ
Harmonic Matrix

8,898,031

8898031
Deficient Odd Prime

8,898,031 has digital root 1. The neighboring primes are 8898017 and 8898047; its proper-divisor sum differs from the starting integer by -8,898,030.

Prime Factor Structure

Factorization String 8898031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,898,032
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8898017 ← → #8898047

Radix Representation

Decimal 8898031
Binary 100001111100010111101111 (24 bits)
Octal 0o41742757
Hexadecimal 0x87C5EF

Divisor Catalog (2)

Collatz Trajectory (287 steps to reach 1)

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

8,898,031 26,694,094 13,347,047 40,041,142 20,020,571 60,061,714 30,030,857 90,092,572 45,046,286 22,523,143 67,569,430 33,784,715 101,354,146 50,677,073 152,031,220 76,015,610 38,007,805 114,023,416 57,011,708 28,505,854 14,252,927 42,758,782 21,379,391 64,138,174 32,069,087 96,207,262 48,103,631 144,310,894 72,155,447 216,466,342 108,233,171 324,699,514 162,349,757 487,049,272 243,524,636 121,762,318 60,881,159 182,643,478 91,321,739 273,965,218 136,982,609 410,947,828 205,473,914 102,736,957 308,210,872 154,105,436 77,052,718 38,526,359 115,579,078 57,789,539 173,368,618 86,684,309 260,052,928 130,026,464 65,013,232 32,506,616 16,253,308 8,126,654 4,063,327 12,189,982

More profiles

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