λ
Prime Ledger

1,412,514

2 × 32 × 97 × 809
Abundant Even Composite

1,412,514 has the prime decomposition 2 × 3^2 × 97 × 809. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 97 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,095,820
Proper Divisor Sum 1,683,306
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1412497 ← → #1412527

Radix Representation

Decimal 1412514
Binary 101011000110110100010 (21 bits)
Octal 0o5306642
Hexadecimal 0x158DA2

Divisor Catalog (24)

1 2 3 6 9 18 97 194 291 582 809 873 1,618 1,746 2,427 4,854 7,281 14,562 78,473 156,946 235,419 470,838 706,257 1,412,514

Collatz Trajectory (106 steps to reach 1)

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

1,412,514 706,257 2,118,772 1,059,386 529,693 1,589,080 794,540 397,270 198,635 595,906 297,953 893,860 446,930 223,465 670,396 335,198 167,599 502,798 251,399 754,198 377,099 1,131,298 565,649 1,696,948 848,474 424,237 1,272,712 636,356 318,178 159,089 477,268 238,634 119,317 357,952 178,976 89,488 44,744 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498

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