λ
Harmonic Matrix

7,463,197

7 × 67 × 15913
Deficient Odd Composite

7,463,197 has digital root 1. The neighboring primes are 7463191 and 7463207; its proper-divisor sum differs from the starting integer by -6,269,178.

Prime Factor Structure

Factorization String 7 × 67 × 15913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,657,216
Proper Divisor Sum 1,194,019
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7463191 ← → #7463207

Radix Representation

Decimal 7463197
Binary 11100011110000100011101 (23 bits)
Octal 0o34360435
Hexadecimal 0x71E11D

Divisor Catalog (8)

1 7 67 469 15,913 111,391 1,066,171 7,463,197

Collatz Trajectory (204 steps to reach 1)

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

7,463,197 22,389,592 11,194,796 5,597,398 2,798,699 8,396,098 4,198,049 12,594,148 6,297,074 3,148,537 9,445,612 4,722,806 2,361,403 7,084,210 3,542,105 10,626,316 5,313,158 2,656,579 7,969,738 3,984,869 11,954,608 5,977,304 2,988,652 1,494,326 747,163 2,241,490 1,120,745 3,362,236 1,681,118 840,559 2,521,678 1,260,839 3,782,518 1,891,259 5,673,778 2,836,889 8,510,668 4,255,334 2,127,667 6,383,002 3,191,501 9,574,504 4,787,252 2,393,626 1,196,813 3,590,440 1,795,220 897,610 448,805 1,346,416 673,208 336,604 168,302 84,151 252,454 126,227 378,682 189,341 568,024 284,012

More profiles

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