λ
Prime Ledger

743,495

5 × 17 × 8747
Deficient Odd Composite

743,495 has the prime decomposition 5 × 17 × 8747. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 8747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 944,784
Proper Divisor Sum 201,289
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #743447 ← → #743507

Radix Representation

Decimal 743495
Binary 10110101100001000111 (20 bits)
Octal 0o2654107
Hexadecimal 0xB5847

Divisor Catalog (8)

1 5 17 85 8,747 43,735 148,699 743,495

Collatz Trajectory (61 steps to reach 1)

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

743,495 2,230,486 1,115,243 3,345,730 1,672,865 5,018,596 2,509,298 1,254,649 3,763,948 1,881,974 940,987 2,822,962 1,411,481 4,234,444 2,117,222 1,058,611 3,175,834 1,587,917 4,763,752 2,381,876 1,190,938 595,469 1,786,408 893,204 446,602 223,301 669,904 334,952 167,476 83,738 41,869 125,608 62,804 31,402 15,701 47,104 23,552 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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