λ
Prime Ledger

745,375

53 × 67 × 89
Deficient Odd Composite

745,375 has the prime decomposition 5^3 × 67 × 89. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 67 × 89
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 954,720
Proper Divisor Sum 209,345
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #745369 ← → #745379

Radix Representation

Decimal 745375
Binary 10110101111110011111 (20 bits)
Octal 0o2657637
Hexadecimal 0xB5F9F

Divisor Catalog (16)

1 5 25 67 89 125 335 445 1,675 2,225 5,963 8,375 11,125 29,815 149,075 745,375

Collatz Trajectory (224 steps to reach 1)

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

745,375 2,236,126 1,118,063 3,354,190 1,677,095 5,031,286 2,515,643 7,546,930 3,773,465 11,320,396 5,660,198 2,830,099 8,490,298 4,245,149 12,735,448 6,367,724 3,183,862 1,591,931 4,775,794 2,387,897 7,163,692 3,581,846 1,790,923 5,372,770 2,686,385 8,059,156 4,029,578 2,014,789 6,044,368 3,022,184 1,511,092 755,546 377,773 1,133,320 566,660 283,330 141,665 424,996 212,498 106,249 318,748 159,374 79,687 239,062 119,531 358,594 179,297 537,892 268,946 134,473 403,420 201,710 100,855 302,566 151,283 453,850 226,925 680,776 340,388 170,194

More profiles

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