λ
Integer Codex

7,620,262

2 × 13 × 293087
Deficient Even Composite

For 7,620,262, the 8 positive divisors have a total of 12,309,696. Removing 7,620,262 leaves 4,689,434, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 293087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,309,696
Proper Divisor Sum 4,689,434
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7620259 ← → #7620271

Radix Representation

Decimal 7620262
Binary 11101000100011010100110 (23 bits)
Octal 0o35043246
Hexadecimal 0x7446A6

Divisor Catalog (8)

1 2 13 26 293,087 586,174 3,810,131 7,620,262

Collatz Trajectory (129 steps to reach 1)

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

7,620,262 3,810,131 11,430,394 5,715,197 17,145,592 8,572,796 4,286,398 2,143,199 6,429,598 3,214,799 9,644,398 4,822,199 14,466,598 7,233,299 21,699,898 10,849,949 32,549,848 16,274,924 8,137,462 4,068,731 12,206,194 6,103,097 18,309,292 9,154,646 4,577,323 13,731,970 6,865,985 20,597,956 10,298,978 5,149,489 15,448,468 7,724,234 3,862,117 11,586,352 5,793,176 2,896,588 1,448,294 724,147 2,172,442 1,086,221 3,258,664 1,629,332 814,666 407,333 1,222,000 611,000 305,500 152,750 76,375 229,126 114,563 343,690 171,845 515,536 257,768 128,884 64,442 32,221 96,664 48,332

More profiles

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