λ
Prime Ledger

1,669,740

22 × 3 × 5 × 17 × 1637
Abundant Even Composite

1,669,740 has the prime decomposition 2^2 × 3 × 5 × 17 × 1637. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 1637
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,953,312
Proper Divisor Sum 3,283,572
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1669727 ← → #1669741

Radix Representation

Decimal 1669740
Binary 110010111101001101100 (21 bits)
Octal 0o6275154
Hexadecimal 0x197A6C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 1,637 3,274 4,911 6,548 8,185 9,822 16,370 19,644 24,555 27,829 32,740 49,110 55,658 83,487 98,220 111,316 139,145 166,974 278,290 333,948 417,435 556,580 834,870 1,669,740

Collatz Trajectory (88 steps to reach 1)

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

1,669,740 834,870 417,435 1,252,306 626,153 1,878,460 939,230 469,615 1,408,846 704,423 2,113,270 1,056,635 3,169,906 1,584,953 4,754,860 2,377,430 1,188,715 3,566,146 1,783,073 5,349,220 2,674,610 1,337,305 4,011,916 2,005,958 1,002,979 3,008,938 1,504,469 4,513,408 2,256,704 1,128,352 564,176 282,088 141,044 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592

More profiles

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