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Atlas › Integer Profiles › Node 1,332,008

1,332,008

23 × 31 × 41 × 131
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 31 × 41 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,661,120
Proper Divisor Sum 1,329,112
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1331989 ← → #1332017

Radix Representation

Decimal 1332008
Binary 101000101001100101000 (21 bits)
Octal 0o5051450
Hexadecimal 0x145328

Divisor Catalog (32)

1 2 4 8 31 41 62 82 124 131 164 248 262 328 524 1,048 1,271 2,542 4,061 5,084 5,371 8,122 10,168 10,742 16,244 21,484 32,488 42,968 166,501 333,002 666,004 1,332,008

Collatz Trajectory (155 steps to reach 1)

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

1,332,008 666,004 333,002 166,501 499,504 249,752 124,876 62,438 31,219 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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