5,984,797

7 × 13² × 5059

Starting at 5,984,797, the Collatz iteration reaches 1 after 320 steps. The first transition is 17954392; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 13^2 × 5059

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,407,840

Proper Divisor Sum 1,423,043

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #5984777 ← → #5984821

Radix Representation

Decimal	5984797
Binary	10110110101001000011101 (23 bits)
Octal	0o26651035
Hexadecimal	0x5B521D

Divisor Catalog (12)

1 7 13 91 169 1,183 5,059 35,413 65,767 460,369 854,971 5,984,797

Collatz Trajectory (320 steps to reach 1)

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

5,984,797 17,954,392 8,977,196 4,488,598 2,244,299 6,732,898 3,366,449 10,099,348 5,049,674 2,524,837 7,574,512 3,787,256 1,893,628 946,814 473,407 1,420,222 710,111 2,130,334 1,065,167 3,195,502 1,597,751 4,793,254 2,396,627 7,189,882 3,594,941 10,784,824 5,392,412 2,696,206 1,348,103 4,044,310 2,022,155 6,066,466 3,033,233 9,099,700 4,549,850 2,274,925 6,824,776 3,412,388 1,706,194 853,097 2,559,292 1,279,646 639,823 1,919,470 959,735 2,879,206 1,439,603 4,318,810 2,159,405 6,478,216 3,239,108 1,619,554 809,777 2,429,332 1,214,666 607,333 1,822,000 911,000 455,500 227,750

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