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Atlas › Integer Profiles › Node 1,373,232

1,373,232

24 × 3 × 7 × 61 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 4,182,272
Proper Divisor Sum 2,809,040
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1373227 ← → #1373233

Radix Representation

Decimal 1373232
Binary 101001111010000110000 (21 bits)
Octal 0o5172060
Hexadecimal 0x14F430

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 67 84 112 122 134 168 183 201 244 268 336 366 402 427 469 488 536 732 804 854 938 976 1,072 1,281 1,407 1,464 1,608 1,708 1,876 2,562 2,814 2,928 3,216 3,416 3,752 4,087 5,124 5,628 6,832 7,504 8,174 10,248 11,256

Collatz Trajectory (54 steps to reach 1)

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

1,373,232 686,616 343,308 171,654 85,827 257,482 128,741 386,224 193,112 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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