λ
Prime Ledger

724,645

5 × 37 × 3917
Deficient Odd Composite

724,645 has the prime decomposition 5 × 37 × 3917. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 3917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 893,304
Proper Divisor Sum 168,659
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #724643 ← → #724651

Radix Representation

Decimal 724645
Binary 10110000111010100101 (20 bits)
Octal 0o2607245
Hexadecimal 0xB0EA5

Divisor Catalog (8)

1 5 37 185 3,917 19,585 144,929 724,645

Collatz Trajectory (180 steps to reach 1)

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

724,645 2,173,936 1,086,968 543,484 271,742 135,871 407,614 203,807 611,422 305,711 917,134 458,567 1,375,702 687,851 2,063,554 1,031,777 3,095,332 1,547,666 773,833 2,321,500 1,160,750 580,375 1,741,126 870,563 2,611,690 1,305,845 3,917,536 1,958,768 979,384 489,692 244,846 122,423 367,270 183,635 550,906 275,453 826,360 413,180 206,590 103,295 309,886 154,943 464,830 232,415 697,246 348,623 1,045,870 522,935 1,568,806 784,403 2,353,210 1,176,605 3,529,816 1,764,908 882,454 441,227 1,323,682 661,841 1,985,524 992,762

More profiles

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