λ
Harmonic Matrix

620,407

19 × 32653
Deficient Odd Composite

620,407 has digital root 1. The neighboring primes are 620401 and 620413; its proper-divisor sum differs from the starting integer by -587,734.

Prime Factor Structure

Factorization String 19 × 32653
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 653,080
Proper Divisor Sum 32,673
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #620401 ← → #620413

Radix Representation

Decimal 620407
Binary 10010111011101110111 (20 bits)
Octal 0o2273567
Hexadecimal 0x97777

Divisor Catalog (4)

1 19 32,653 620,407

Collatz Trajectory (66 steps to reach 1)

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

620,407 1,861,222 930,611 2,791,834 1,395,917 4,187,752 2,093,876 1,046,938 523,469 1,570,408 785,204 392,602 196,301 588,904 294,452 147,226 73,613 220,840 110,420 55,210 27,605 82,816 41,408 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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