λ
Prime Ledger

6,152,094

2 × 32 × 13 × 61 × 431
Abundant Even Composite

6,152,094 has the prime decomposition 2 × 3^2 × 13 × 61 × 431. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 61 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,624,064
Proper Divisor Sum 8,471,970
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6152093 ← → #6152117

Radix Representation

Decimal 6152094
Binary 10111011101111110011110 (23 bits)
Octal 0o27357636
Hexadecimal 0x5DDF9E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 431 549 793 862 1,098 1,293 1,586 2,379 2,586 3,879 4,758 5,603 7,137 7,758 11,206 14,274 16,809 26,291 33,618 50,427 52,582 78,873 100,854 157,746 236,619 341,783 473,238 683,566 1,025,349 2,050,698 3,076,047 6,152,094

Collatz Trajectory (121 steps to reach 1)

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

6,152,094 3,076,047 9,228,142 4,614,071 13,842,214 6,921,107 20,763,322 10,381,661 31,144,984 15,572,492 7,786,246 3,893,123 11,679,370 5,839,685 17,519,056 8,759,528 4,379,764 2,189,882 1,094,941 3,284,824 1,642,412 821,206 410,603 1,231,810 615,905 1,847,716 923,858 461,929 1,385,788 692,894 346,447 1,039,342 519,671 1,559,014 779,507 2,338,522 1,169,261 3,507,784 1,753,892 876,946 438,473 1,315,420 657,710 328,855 986,566 493,283 1,479,850 739,925 2,219,776 1,109,888 554,944 277,472 138,736 69,368 34,684 17,342 8,671 26,014 13,007 39,022

More profiles

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