λ
Harmonic Matrix

6,178,015

5 × 29 × 137 × 311
Deficient Odd Composite

6,178,015 has digital root 1. The neighboring primes are 6177991 and 6178057; its proper-divisor sum differs from the starting integer by -4,605,950.

Prime Factor Structure

Factorization String 5 × 29 × 137 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,750,080
Proper Divisor Sum 1,572,065
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6177991 ← → #6178057

Radix Representation

Decimal 6178015
Binary 10111100100010011011111 (23 bits)
Octal 0o27442337
Hexadecimal 0x5E44DF

Divisor Catalog (16)

1 5 29 137 145 311 685 1,555 3,973 9,019 19,865 42,607 45,095 213,035 1,235,603 6,178,015

Collatz Trajectory (227 steps to reach 1)

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

6,178,015 18,534,046 9,267,023 27,801,070 13,900,535 41,701,606 20,850,803 62,552,410 31,276,205 93,828,616 46,914,308 23,457,154 11,728,577 35,185,732 17,592,866 8,796,433 26,389,300 13,194,650 6,597,325 19,791,976 9,895,988 4,947,994 2,473,997 7,421,992 3,710,996 1,855,498 927,749 2,783,248 1,391,624 695,812 347,906 173,953 521,860 260,930 130,465 391,396 195,698 97,849 293,548 146,774 73,387 220,162 110,081 330,244 165,122 82,561 247,684 123,842 61,921 185,764 92,882 46,441 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114

More profiles

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