λ
Prime Ledger

6,367,740

22 × 3 × 5 × 106129
Abundant Even Composite

6,367,740 has the prime decomposition 2^2 × 3 × 5 × 106129. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 106129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,829,840
Proper Divisor Sum 11,462,100
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6367727 ← → #6367771

Radix Representation

Decimal 6367740
Binary 11000010010100111111100 (23 bits)
Octal 0o30224774
Hexadecimal 0x6129FC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 106,129 212,258 318,387 424,516 530,645 636,774 1,061,290 1,273,548 1,591,935 2,122,580 3,183,870 6,367,740

Collatz Trajectory (227 steps to reach 1)

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

6,367,740 3,183,870 1,591,935 4,775,806 2,387,903 7,163,710 3,581,855 10,745,566 5,372,783 16,118,350 8,059,175 24,177,526 12,088,763 36,266,290 18,133,145 54,399,436 27,199,718 13,599,859 40,799,578 20,399,789 61,199,368 30,599,684 15,299,842 7,649,921 22,949,764 11,474,882 5,737,441 17,212,324 8,606,162 4,303,081 12,909,244 6,454,622 3,227,311 9,681,934 4,840,967 14,522,902 7,261,451 21,784,354 10,892,177 32,676,532 16,338,266 8,169,133 24,507,400 12,253,700 6,126,850 3,063,425 9,190,276 4,595,138 2,297,569 6,892,708 3,446,354 1,723,177 5,169,532 2,584,766 1,292,383 3,877,150 1,938,575 5,815,726 2,907,863 8,723,590

More profiles

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