λ
Prime Ledger

764,147

61 × 12527
Deficient Odd Composite

764,147 has the prime decomposition 61 × 12527. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 12527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 776,736
Proper Divisor Sum 12,589
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #764143 ← → #764149

Radix Representation

Decimal 764147
Binary 10111010100011110011 (20 bits)
Octal 0o2724363
Hexadecimal 0xBA8F3

Divisor Catalog (4)

1 61 12,527 764,147

Collatz Trajectory (131 steps to reach 1)

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

764,147 2,292,442 1,146,221 3,438,664 1,719,332 859,666 429,833 1,289,500 644,750 322,375 967,126 483,563 1,450,690 725,345 2,176,036 1,088,018 544,009 1,632,028 816,014 408,007 1,224,022 612,011 1,836,034 918,017 2,754,052 1,377,026 688,513 2,065,540 1,032,770 516,385 1,549,156 774,578 387,289 1,161,868 580,934 290,467 871,402 435,701 1,307,104 653,552 326,776 163,388 81,694 40,847 122,542 61,271 183,814 91,907 275,722 137,861 413,584 206,792 103,396 51,698 25,849 77,548 38,774 19,387 58,162 29,081

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