λ
Prime Ledger

1,144,332

22 × 32 × 7 × 19 × 239
Abundant Even Composite

1,144,332 has the prime decomposition 2^2 × 3^2 × 7 × 19 × 239. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 19 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,494,400
Proper Divisor Sum 2,350,068
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1144327 ← → #1144333

Radix Representation

Decimal 1144332
Binary 100010111011000001100 (21 bits)
Octal 0o4273014
Hexadecimal 0x11760C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 239 252 266 342 399 478 532 684 717 798 956 1,197 1,434 1,596 1,673 2,151 2,394 2,868 3,346 4,302 4,541 4,788 5,019 6,692 8,604 9,082 10,038 13,623 15,057 18,164 20,076 27,246 30,114 31,787 40,869

Collatz Trajectory (129 steps to reach 1)

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

1,144,332 572,166 286,083 858,250 429,125 1,287,376 643,688 321,844 160,922 80,461 241,384 120,692 60,346 30,173 90,520 45,260 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270

More profiles

← Previous Integer #1,144,331 Browse Full Index Next Integer #1,144,333 →