λ
Integer Codex

7,364,958

2 × 3 × 761 × 1613
Abundant Even Composite

For 7,364,958, the 16 positive divisors have a total of 14,758,416. Removing 7,364,958 leaves 7,393,458, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 761 × 1613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,758,416
Proper Divisor Sum 7,393,458
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7364939 ← → #7364963

Radix Representation

Decimal 7364958
Binary 11100000110000101011110 (23 bits)
Octal 0o34060536
Hexadecimal 0x70615E

Divisor Catalog (16)

1 2 3 6 761 1,522 1,613 2,283 3,226 4,566 4,839 9,678 1,227,493 2,454,986 3,682,479 7,364,958

Collatz Trajectory (222 steps to reach 1)

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

7,364,958 3,682,479 11,047,438 5,523,719 16,571,158 8,285,579 24,856,738 12,428,369 37,285,108 18,642,554 9,321,277 27,963,832 13,981,916 6,990,958 3,495,479 10,486,438 5,243,219 15,729,658 7,864,829 23,594,488 11,797,244 5,898,622 2,949,311 8,847,934 4,423,967 13,271,902 6,635,951 19,907,854 9,953,927 29,861,782 14,930,891 44,792,674 22,396,337 67,189,012 33,594,506 16,797,253 50,391,760 25,195,880 12,597,940 6,298,970 3,149,485 9,448,456 4,724,228 2,362,114 1,181,057 3,543,172 1,771,586 885,793 2,657,380 1,328,690 664,345 1,993,036 996,518 498,259 1,494,778 747,389 2,242,168 1,121,084 560,542 280,271

More profiles

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