λ
Harmonic Matrix

6,056,079

3 × 19 × 181 × 587
Deficient Odd Composite

6,056,079 has digital root 6. The neighboring primes are 6056059 and 6056111; its proper-divisor sum differs from the starting integer by -3,550,878.

Prime Factor Structure

Factorization String 3 × 19 × 181 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,561,280
Proper Divisor Sum 2,505,201
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6056059 ← → #6056111

Radix Representation

Decimal 6056079
Binary 10111000110100010001111 (23 bits)
Octal 0o27064217
Hexadecimal 0x5C688F

Divisor Catalog (16)

1 3 19 57 181 543 587 1,761 3,439 10,317 11,153 33,459 106,247 318,741 2,018,693 6,056,079

Collatz Trajectory (90 steps to reach 1)

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

6,056,079 18,168,238 9,084,119 27,252,358 13,626,179 40,878,538 20,439,269 61,317,808 30,658,904 15,329,452 7,664,726 3,832,363 11,497,090 5,748,545 17,245,636 8,622,818 4,311,409 12,934,228 6,467,114 3,233,557 9,700,672 4,850,336 2,425,168 1,212,584 606,292 303,146 151,573 454,720 227,360 113,680 56,840 28,420 14,210 7,105 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178

More profiles

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