λ
Prime Ledger

1,190,512

24 × 37 × 2011
Deficient Even Composite

1,190,512 has the prime decomposition 2^4 × 37 × 2011. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 37 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,370,136
Proper Divisor Sum 1,179,624
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1190509 ← → #1190513

Radix Representation

Decimal 1190512
Binary 100100010101001110000 (21 bits)
Octal 0o4425160
Hexadecimal 0x122A70

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 2,011 4,022 8,044 16,088 32,176 74,407 148,814 297,628 595,256 1,190,512

Collatz Trajectory (142 steps to reach 1)

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

1,190,512 595,256 297,628 148,814 74,407 223,222 111,611 334,834 167,417 502,252 251,126 125,563 376,690 188,345 565,036 282,518 141,259 423,778 211,889 635,668 317,834 158,917 476,752 238,376 119,188 59,594 29,797 89,392 44,696 22,348 11,174 5,587 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558

More profiles

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