λ
Prime Ledger

7,720,462

2 × 3860231
Deficient Even Composite

7,720,462 has the prime decomposition 2 × 3860231. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3860231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,580,696
Proper Divisor Sum 3,860,234
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7720451 ← → #7720481

Radix Representation

Decimal 7720462
Binary 11101011100111000001110 (23 bits)
Octal 0o35347016
Hexadecimal 0x75CE0E

Divisor Catalog (4)

Collatz Trajectory (217 steps to reach 1)

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

7,720,462 3,860,231 11,580,694 5,790,347 17,371,042 8,685,521 26,056,564 13,028,282 6,514,141 19,542,424 9,771,212 4,885,606 2,442,803 7,328,410 3,664,205 10,992,616 5,496,308 2,748,154 1,374,077 4,122,232 2,061,116 1,030,558 515,279 1,545,838 772,919 2,318,758 1,159,379 3,478,138 1,739,069 5,217,208 2,608,604 1,304,302 652,151 1,956,454 978,227 2,934,682 1,467,341 4,402,024 2,201,012 1,100,506 550,253 1,650,760 825,380 412,690 206,345 619,036 309,518 154,759 464,278 232,139 696,418 348,209 1,044,628 522,314 261,157 783,472 391,736 195,868 97,934 48,967

More profiles

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