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Atlas › Integer Profiles › Node 453,523

453,523

7 × 67 × 967
Deficient Odd Composite

Starting at 453,523, the Collatz iteration reaches 1 after 63 steps. The first transition is 1360570; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 67 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 526,592
Proper Divisor Sum 73,069
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #453461 ← → #453527

Radix Representation

Decimal 453523
Binary 1101110101110010011 (19 bits)
Octal 0o1565623
Hexadecimal 0x6EB93

Divisor Catalog (8)

1 7 67 469 967 6,769 64,789 453,523

Collatz Trajectory (63 steps to reach 1)

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

453,523 1,360,570 680,285 2,040,856 1,020,428 510,214 255,107 765,322 382,661 1,147,984 573,992 286,996 143,498 71,749 215,248 107,624 53,812 26,906 13,453 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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