660,764

2² × 13 × 97 × 131

Starting at 660,764, the Collatz iteration reaches 1 after 97 steps. The first transition is 330382; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 97 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,267,728

Proper Divisor Sum 606,964

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #660757 ← → #660769

Radix Representation

Decimal	660764
Binary	10100001010100011100 (20 bits)
Octal	0o2412434
Hexadecimal	0xA151C

Divisor Catalog (24)

1 2 4 13 26 52 97 131 194 262 388 524 1,261 1,703 2,522 3,406 5,044 6,812 12,707 25,414 50,828 165,191 330,382 660,764

Collatz Trajectory (97 steps to reach 1)

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

660,764 330,382 165,191 495,574 247,787 743,362 371,681 1,115,044 557,522 278,761 836,284 418,142 209,071 627,214 313,607 940,822 470,411 1,411,234 705,617 2,116,852 1,058,426 529,213 1,587,640 793,820 396,910 198,455 595,366 297,683 893,050 446,525 1,339,576 669,788 334,894 167,447 502,342 251,171 753,514 376,757 1,130,272 565,136 282,568 141,284 70,642 35,321 105,964 52,982 26,491 79,474 39,737 119,212 59,606 29,803 89,410 44,705 134,116 67,058 33,529 100,588 50,294 25,147

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