λ
Harmonic Matrix

6,127,815

3 × 5 × 139 × 2939
Deficient Odd Composite

6,127,815 has digital root 3. The neighboring primes are 6127789 and 6127831; its proper-divisor sum differs from the starting integer by -2,377,230.

Prime Factor Structure

Factorization String 3 × 5 × 139 × 2939
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,878,400
Proper Divisor Sum 3,750,585
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6127789 ← → #6127831

Radix Representation

Decimal 6127815
Binary 10111011000000011000111 (23 bits)
Octal 0o27300307
Hexadecimal 0x5D80C7

Divisor Catalog (16)

1 3 5 15 139 417 695 2,085 2,939 8,817 14,695 44,085 408,521 1,225,563 2,042,605 6,127,815

Collatz Trajectory (165 steps to reach 1)

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

6,127,815 18,383,446 9,191,723 27,575,170 13,787,585 41,362,756 20,681,378 10,340,689 31,022,068 15,511,034 7,755,517 23,266,552 11,633,276 5,816,638 2,908,319 8,724,958 4,362,479 13,087,438 6,543,719 19,631,158 9,815,579 29,446,738 14,723,369 44,170,108 22,085,054 11,042,527 33,127,582 16,563,791 49,691,374 24,845,687 74,537,062 37,268,531 111,805,594 55,902,797 167,708,392 83,854,196 41,927,098 20,963,549 62,890,648 31,445,324 15,722,662 7,861,331 23,583,994 11,791,997 35,375,992 17,687,996 8,843,998 4,421,999 13,265,998 6,632,999 19,898,998 9,949,499 29,848,498 14,924,249 44,772,748 22,386,374 11,193,187 33,579,562 16,789,781 50,369,344

More profiles

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