λ
Harmonic Matrix

581,948

22 × 145487
Deficient Even Composite

581,948 has digital root 8. The neighboring primes are 581947 and 581953; its proper-divisor sum differs from the starting integer by -145,480.

Prime Factor Structure

Factorization String 2^2 × 145487
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,018,416
Proper Divisor Sum 436,468
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #581947 ← → #581953

Radix Representation

Decimal 581948
Binary 10001110000100111100 (20 bits)
Octal 0o2160474
Hexadecimal 0x8E13C

Divisor Catalog (6)

1 2 4 145,487 290,974 581,948

Collatz Trajectory (146 steps to reach 1)

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

581,948 290,974 145,487 436,462 218,231 654,694 327,347 982,042 491,021 1,473,064 736,532 368,266 184,133 552,400 276,200 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103

More profiles

← Previous Integer #581,947 Browse Full Index Next Integer #581,949 →