λ
Harmonic Matrix

5,991,479

13 × 19 × 127 × 191
Deficient Odd Composite

5,991,479 has digital root 8. The neighboring primes are 5991473 and 5991533; its proper-divisor sum differs from the starting integer by -5,101,678.

Prime Factor Structure

Factorization String 13 × 19 × 127 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,881,280
Proper Divisor Sum 889,801
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5991473 ← → #5991533

Radix Representation

Decimal 5991479
Binary 10110110110110000110111 (23 bits)
Octal 0o26666067
Hexadecimal 0x5B6C37

Divisor Catalog (16)

1 13 19 127 191 247 1,651 2,413 2,483 3,629 24,257 31,369 47,177 315,341 460,883 5,991,479

Collatz Trajectory (113 steps to reach 1)

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

5,991,479 17,974,438 8,987,219 26,961,658 13,480,829 40,442,488 20,221,244 10,110,622 5,055,311 15,165,934 7,582,967 22,748,902 11,374,451 34,123,354 17,061,677 51,185,032 25,592,516 12,796,258 6,398,129 19,194,388 9,597,194 4,798,597 14,395,792 7,197,896 3,598,948 1,799,474 899,737 2,699,212 1,349,606 674,803 2,024,410 1,012,205 3,036,616 1,518,308 759,154 379,577 1,138,732 569,366 284,683 854,050 427,025 1,281,076 640,538 320,269 960,808 480,404 240,202 120,101 360,304 180,152 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002

More profiles

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