λ
Prime Ledger

929,692

22 × 67 × 3469
Deficient Even Composite

929,692 has the prime decomposition 2^2 × 67 × 3469. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 67 × 3469
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,651,720
Proper Divisor Sum 722,028
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #929671 ← → #929693

Radix Representation

Decimal 929692
Binary 11100010111110011100 (20 bits)
Octal 0o3427634
Hexadecimal 0xE2F9C

Divisor Catalog (12)

1 2 4 67 134 268 3,469 6,938 13,876 232,423 464,846 929,692

Collatz Trajectory (170 steps to reach 1)

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

929,692 464,846 232,423 697,270 348,635 1,045,906 522,953 1,568,860 784,430 392,215 1,176,646 588,323 1,764,970 882,485 2,647,456 1,323,728 661,864 330,932 165,466 82,733 248,200 124,100 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166

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