λ
Prime Ledger

1,522,444

22 × 7 × 11 × 4943
Abundant Even Composite

1,522,444 has the prime decomposition 2^2 × 7 × 11 × 4943. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 4943
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,322,368
Proper Divisor Sum 1,799,924
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1522427 ← → #1522447

Radix Representation

Decimal 1522444
Binary 101110011101100001100 (21 bits)
Octal 0o5635414
Hexadecimal 0x173B0C

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 4,943 9,886 19,772 34,601 54,373 69,202 108,746 138,404 217,492 380,611 761,222 1,522,444

Collatz Trajectory (62 steps to reach 1)

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

1,522,444 761,222 380,611 1,141,834 570,917 1,712,752 856,376 428,188 214,094 107,047 321,142 160,571 481,714 240,857 722,572 361,286 180,643 541,930 270,965 812,896 406,448 203,224 101,612 50,806 25,403 76,210 38,105 114,316 57,158 28,579 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8

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