λ
Integer Codex

5,998,591

127 × 149 × 317
Deficient Odd Composite

For 5,998,591, the 8 positive divisors have a total of 6,105,600. Removing 5,998,591 leaves 107,009, which gives the deficient classification.

Prime Factor Structure

Factorization String 127 × 149 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,105,600
Proper Divisor Sum 107,009
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5998583 ← → #5998609

Radix Representation

Decimal 5998591
Binary 10110111000011111111111 (23 bits)
Octal 0o26703777
Hexadecimal 0x5B87FF

Divisor Catalog (8)

1 127 149 317 18,923 40,259 47,233 5,998,591

Collatz Trajectory (258 steps to reach 1)

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

5,998,591 17,995,774 8,997,887 26,993,662 13,496,831 40,490,494 20,245,247 60,735,742 30,367,871 91,103,614 45,551,807 136,655,422 68,327,711 204,983,134 102,491,567 307,474,702 153,737,351 461,212,054 230,606,027 691,818,082 345,909,041 1,037,727,124 518,863,562 259,431,781 778,295,344 389,147,672 194,573,836 97,286,918 48,643,459 145,930,378 72,965,189 218,895,568 109,447,784 54,723,892 27,361,946 13,680,973 41,042,920 20,521,460 10,260,730 5,130,365 15,391,096 7,695,548 3,847,774 1,923,887 5,771,662 2,885,831 8,657,494 4,328,747 12,986,242 6,493,121 19,479,364 9,739,682 4,869,841 14,609,524 7,304,762 3,652,381 10,957,144 5,478,572 2,739,286 1,369,643

More profiles

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