λ
Harmonic Matrix

6,217,627

13 × 463 × 1033
Deficient Odd Composite

6,217,627 has digital root 4. The neighboring primes are 6217543 and 6217633; its proper-divisor sum differs from the starting integer by -5,718,390.

Prime Factor Structure

Factorization String 13 × 463 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,716,864
Proper Divisor Sum 499,237
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6217543 ← → #6217633

Radix Representation

Decimal 6217627
Binary 10111101101111110011011 (23 bits)
Octal 0o27557633
Hexadecimal 0x5EDF9B

Divisor Catalog (8)

1 13 463 1,033 6,019 13,429 478,279 6,217,627

Collatz Trajectory (103 steps to reach 1)

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

6,217,627 18,652,882 9,326,441 27,979,324 13,989,662 6,994,831 20,984,494 10,492,247 31,476,742 15,738,371 47,215,114 23,607,557 70,822,672 35,411,336 17,705,668 8,852,834 4,426,417 13,279,252 6,639,626 3,319,813 9,959,440 4,979,720 2,489,860 1,244,930 622,465 1,867,396 933,698 466,849 1,400,548 700,274 350,137 1,050,412 525,206 262,603 787,810 393,905 1,181,716 590,858 295,429 886,288 443,144 221,572 110,786 55,393 166,180 83,090 41,545 124,636 62,318 31,159 93,478 46,739 140,218 70,109 210,328 105,164 52,582 26,291 78,874 39,437

More profiles

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