λ
Harmonic Matrix

6,365,815

5 × 491 × 2593
Deficient Odd Composite

6,365,815 has digital root 7. The neighboring primes are 6365809 and 6365857; its proper-divisor sum differs from the starting integer by -5,074,142.

Prime Factor Structure

Factorization String 5 × 491 × 2593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,657,488
Proper Divisor Sum 1,291,673
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6365809 ← → #6365857

Radix Representation

Decimal 6365815
Binary 11000010010001001110111 (23 bits)
Octal 0o30221167
Hexadecimal 0x612277

Divisor Catalog (8)

1 5 491 2,455 2,593 12,965 1,273,163 6,365,815

Collatz Trajectory (103 steps to reach 1)

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

6,365,815 19,097,446 9,548,723 28,646,170 14,323,085 42,969,256 21,484,628 10,742,314 5,371,157 16,113,472 8,056,736 4,028,368 2,014,184 1,007,092 503,546 251,773 755,320 377,660 188,830 94,415 283,246 141,623 424,870 212,435 637,306 318,653 955,960 477,980 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237 453,712 226,856 113,428 56,714 28,357 85,072 42,536 21,268 10,634 5,317 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374 187

More profiles

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