597,081

3 × 29 × 6863

Starting at 597,081, the Collatz iteration reaches 1 after 97 steps. The first transition is 1791244; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 6863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 823,680

Proper Divisor Sum 226,599

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #597073 ← → #597127

Radix Representation

Decimal	597081
Binary	10010001110001011001 (20 bits)
Octal	0o2216131
Hexadecimal	0x91C59

Divisor Catalog (8)

1 3 29 87 6,863 20,589 199,027 597,081

Collatz Trajectory (97 steps to reach 1)

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

597,081 1,791,244 895,622 447,811 1,343,434 671,717 2,015,152 1,007,576 503,788 251,894 125,947 377,842 188,921 566,764 283,382 141,691 425,074 212,537 637,612 318,806 159,403 478,210 239,105 717,316 358,658 179,329 537,988 268,994 134,497 403,492 201,746 100,873 302,620 151,310 75,655 226,966 113,483 340,450 170,225 510,676 255,338 127,669 383,008 191,504 95,752 47,876 23,938 11,969 35,908 17,954 8,977 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788

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