λ
Prime Ledger

6,024,375

34 × 54 × 7 × 17
Abundant Odd Composite

6,024,375 has the prime decomposition 3^4 × 5^4 × 7 × 17. Its 4 distinct prime factors produce 100 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5^4 × 7 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 13,608,144
Proper Divisor Sum 7,583,769
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6024371 ← → #6024391

Radix Representation

Decimal 6024375
Binary 10110111110110010110111 (23 bits)
Octal 0o26766267
Hexadecimal 0x5BECB7

Divisor Catalog (60 of 100)

1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 81 85 105 119 125 135 153 175 189 225 255 315 357 375 405 425 459 525 567 595 625 675 765 875 945 1,071 1,125 1,275 1,377 1,575 1,785 1,875 2,025 2,125 2,295 2,625 2,835 2,975 3,213 3,375 3,825 4,375 4,725 5,355 5,625

Collatz Trajectory (165 steps to reach 1)

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

6,024,375 18,073,126 9,036,563 27,109,690 13,554,845 40,664,536 20,332,268 10,166,134 5,083,067 15,249,202 7,624,601 22,873,804 11,436,902 5,718,451 17,155,354 8,577,677 25,733,032 12,866,516 6,433,258 3,216,629 9,649,888 4,824,944 2,412,472 1,206,236 603,118 301,559 904,678 452,339 1,357,018 678,509 2,035,528 1,017,764 508,882 254,441 763,324 381,662 190,831 572,494 286,247 858,742 429,371 1,288,114 644,057 1,932,172 966,086 483,043 1,449,130 724,565 2,173,696 1,086,848 543,424 271,712 135,856 67,928 33,964 16,982 8,491 25,474 12,737 38,212

More profiles

← Previous Integer #6,024,374 Browse Full Index Next Integer #6,024,376 →