λ
Harmonic Matrix

5,988,975

3 × 52 × 47 × 1699
Deficient Odd Composite

5,988,975 has digital root 6. The neighboring primes are 5988973 and 5988989; its proper-divisor sum differs from the starting integer by -1,859,550.

Prime Factor Structure

Factorization String 3 × 5^2 × 47 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,118,400
Proper Divisor Sum 4,129,425
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #5988973 ← → #5988989

Radix Representation

Decimal 5988975
Binary 10110110110001001101111 (23 bits)
Octal 0o26661157
Hexadecimal 0x5B626F

Divisor Catalog (24)

1 3 5 15 25 47 75 141 235 705 1,175 1,699 3,525 5,097 8,495 25,485 42,475 79,853 127,425 239,559 399,265 1,197,795 1,996,325 5,988,975

Collatz Trajectory (258 steps to reach 1)

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

5,988,975 17,966,926 8,983,463 26,950,390 13,475,195 40,425,586 20,212,793 60,638,380 30,319,190 15,159,595 45,478,786 22,739,393 68,218,180 34,109,090 17,054,545 51,163,636 25,581,818 12,790,909 38,372,728 19,186,364 9,593,182 4,796,591 14,389,774 7,194,887 21,584,662 10,792,331 32,376,994 16,188,497 48,565,492 24,282,746 12,141,373 36,424,120 18,212,060 9,106,030 4,553,015 13,659,046 6,829,523 20,488,570 10,244,285 30,732,856 15,366,428 7,683,214 3,841,607 11,524,822 5,762,411 17,287,234 8,643,617 25,930,852 12,965,426 6,482,713 19,448,140 9,724,070 4,862,035 14,586,106 7,293,053 21,879,160 10,939,580 5,469,790 2,734,895 8,204,686

More profiles

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