λ
Harmonic Matrix

4,597,589

4597589
Deficient Odd Prime

4,597,589 has digital root 2. The neighboring primes are 4597577 and 4597597; its proper-divisor sum differs from the starting integer by -4,597,588.

Prime Factor Structure

Factorization String 4597589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,597,590
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #4597577 ← → #4597597

Radix Representation

Decimal 4597589
Binary 10001100010011101010101 (23 bits)
Octal 0o21423525
Hexadecimal 0x462755

Divisor Catalog (2)

Collatz Trajectory (100 steps to reach 1)

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

4,597,589 13,792,768 6,896,384 3,448,192 1,724,096 862,048 431,024 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

More profiles

← Previous Integer #4,597,588 Browse Full Index Next Integer #4,597,590 →