λ
Prime Ledger

6,012,496

24 × 72 × 7669
Abundant Even Composite

6,012,496 has the prime decomposition 2^4 × 7^2 × 7669. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 7669
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 13,552,890
Proper Divisor Sum 7,540,394
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6012491 ← → #6012497

Radix Representation

Decimal 6012496
Binary 10110111011111001010000 (23 bits)
Octal 0o26737120
Hexadecimal 0x5BBE50

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 7,669 15,338 30,676 53,683 61,352 107,366 122,704 214,732 375,781 429,464 751,562 858,928 1,503,124 3,006,248 6,012,496

Collatz Trajectory (90 steps to reach 1)

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

6,012,496 3,006,248 1,503,124 751,562 375,781 1,127,344 563,672 281,836 140,918 70,459 211,378 105,689 317,068 158,534 79,267 237,802 118,901 356,704 178,352 89,176 44,588 22,294 11,147 33,442 16,721 50,164 25,082 12,541 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178

More profiles

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