λ
Prime Ledger

6,101,424

24 × 32 × 7 × 6053
Abundant Even Composite

6,101,424 has the prime decomposition 2^4 × 3^2 × 7 × 6053. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 6053
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 19,518,096
Proper Divisor Sum 13,416,672
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6101393 ← → #6101429

Radix Representation

Decimal 6101424
Binary 10111010001100110110000 (23 bits)
Octal 0o27214660
Hexadecimal 0x5D19B0

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 6,053 12,106 18,159 24,212 36,318 42,371 48,424 54,477 72,636 84,742 96,848 108,954 127,113 145,272 169,484 217,908 254,226 290,544 338,968 381,339 435,816 508,452 677,936 762,678 871,632 1,016,904 1,525,356 2,033,808 3,050,712 6,101,424

Collatz Trajectory (82 steps to reach 1)

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

6,101,424 3,050,712 1,525,356 762,678 381,339 1,144,018 572,009 1,716,028 858,014 429,007 1,287,022 643,511 1,930,534 965,267 2,895,802 1,447,901 4,343,704 2,171,852 1,085,926 542,963 1,628,890 814,445 2,443,336 1,221,668 610,834 305,417 916,252 458,126 229,063 687,190 343,595 1,030,786 515,393 1,546,180 773,090 386,545 1,159,636 579,818 289,909 869,728 434,864 217,432 108,716 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075

More profiles

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