5,676,960

2⁵ × 3 × 5 × 11827

Starting at 5,676,960, the Collatz iteration reaches 1 after 100 steps. The first transition is 2838480; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,883,936

Proper Divisor Sum 12,206,976

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5676943 ← → #5676961

Radix Representation

Decimal	5676960
Binary	10101101001111110100000 (23 bits)
Octal	0o25517640
Hexadecimal	0x569FA0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11,827 23,654 35,481 47,308 59,135 70,962 94,616 118,270 141,924 177,405 189,232 236,540 283,848 354,810 378,464 473,080 567,696 709,620 946,160 1,135,392 1,419,240 1,892,320 2,838,480 5,676,960

Collatz Trajectory (100 steps to reach 1)

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

5,676,960 2,838,480 1,419,240 709,620 354,810 177,405 532,216 266,108 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450 14,225 42,676 21,338 10,669 32,008 16,004 8,002 4,001 12,004 6,002

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