5,959,968

2⁵ × 3 × 7³ × 181

Starting at 5,959,968, the Collatz iteration reaches 1 after 183 steps. The first transition is 2979984; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7^3 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,345,600

Proper Divisor Sum 12,385,632

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #5959963 ← → #5959969

Radix Representation

Decimal	5959968
Binary	10110101111000100100000 (23 bits)
Octal	0o26570440
Hexadecimal	0x5AF120

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 181 196 224 294 336 343 362 392 543 588 672 686 724 784 1,029 1,086 1,176 1,267 1,372 1,448 1,568 2,058 2,172 2,352 2,534 2,744 2,896 3,801 4,116 4,344 4,704 5,068 5,488 5,792 7,602 8,232

Collatz Trajectory (183 steps to reach 1)

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

5,959,968 2,979,984 1,489,992 744,996 372,498 186,249 558,748 279,374 139,687 419,062 209,531 628,594 314,297 942,892 471,446 235,723 707,170 353,585 1,060,756 530,378 265,189 795,568 397,784 198,892 99,446 49,723 149,170 74,585 223,756 111,878 55,939 167,818 83,909 251,728 125,864 62,932 31,466 15,733 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

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