λ
Harmonic Matrix

1,627,568

24 × 101723
Deficient Even Composite

1,627,568 has digital root 8. The neighboring primes are 1627553 and 1627573; its proper-divisor sum differs from the starting integer by -101,692.

Prime Factor Structure

Factorization String 2^4 × 101723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 3,153,444
Proper Divisor Sum 1,525,876
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1627553 ← → #1627573

Radix Representation

Decimal 1627568
Binary 110001101010110110000 (21 bits)
Octal 0o6152660
Hexadecimal 0x18D5B0

Divisor Catalog (10)

1 2 4 8 16 101,723 203,446 406,892 813,784 1,627,568

Collatz Trajectory (62 steps to reach 1)

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

1,627,568 813,784 406,892 203,446 101,723 305,170 152,585 457,756 228,878 114,439 343,318 171,659 514,978 257,489 772,468 386,234 193,117 579,352 289,676 144,838 72,419 217,258 108,629 325,888 162,944 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

More profiles

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