λ
Prime Ledger

1,489,144

23 × 19 × 97 × 101
Abundant Even Composite

1,489,144 has the prime decomposition 2^3 × 19 × 97 × 101. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 97 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,998,800
Proper Divisor Sum 1,509,656
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1489129 ← → #1489153

Radix Representation

Decimal 1489144
Binary 101101011100011111000 (21 bits)
Octal 0o5534370
Hexadecimal 0x16B8F8

Divisor Catalog (32)

1 2 4 8 19 38 76 97 101 152 194 202 388 404 776 808 1,843 1,919 3,686 3,838 7,372 7,676 9,797 14,744 15,352 19,594 39,188 78,376 186,143 372,286 744,572 1,489,144

Collatz Trajectory (119 steps to reach 1)

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

1,489,144 744,572 372,286 186,143 558,430 279,215 837,646 418,823 1,256,470 628,235 1,884,706 942,353 2,827,060 1,413,530 706,765 2,120,296 1,060,148 530,074 265,037 795,112 397,556 198,778 99,389 298,168 149,084 74,542 37,271 111,814 55,907 167,722 83,861 251,584 125,792 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698

More profiles

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