λ
Harmonic Matrix

6,717,649

6717649
Deficient Odd Prime

6,717,649 has digital root 4. The neighboring primes are 6717629 and 6717653; its proper-divisor sum differs from the starting integer by -6,717,648.

Prime Factor Structure

Factorization String 6717649
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,717,650
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6717629 ← → #6717653

Radix Representation

Decimal 6717649
Binary 11001101000000011010001 (23 bits)
Octal 0o31500321
Hexadecimal 0x6680D1

Divisor Catalog (2)

1 6,717,649

Collatz Trajectory (160 steps to reach 1)

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

6,717,649 20,152,948 10,076,474 5,038,237 15,114,712 7,557,356 3,778,678 1,889,339 5,668,018 2,834,009 8,502,028 4,251,014 2,125,507 6,376,522 3,188,261 9,564,784 4,782,392 2,391,196 1,195,598 597,799 1,793,398 896,699 2,690,098 1,345,049 4,035,148 2,017,574 1,008,787 3,026,362 1,513,181 4,539,544 2,269,772 1,134,886 567,443 1,702,330 851,165 2,553,496 1,276,748 638,374 319,187 957,562 478,781 1,436,344 718,172 359,086 179,543 538,630 269,315 807,946 403,973 1,211,920 605,960 302,980 151,490 75,745 227,236 113,618 56,809 170,428 85,214 42,607

More profiles

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