5,208,255

3² × 5 × 13 × 29 × 307

Starting at 5,208,255, the Collatz iteration reaches 1 after 250 steps. The first transition is 15624766; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 29 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,090,080

Proper Divisor Sum 4,881,825

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5208253 ← → #5208263

Radix Representation

Decimal	5208255
Binary	10011110111100010111111 (23 bits)
Octal	0o23674277
Hexadecimal	0x4F78BF

Divisor Catalog (48)

1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 307 377 435 585 921 1,131 1,305 1,535 1,885 2,763 3,393 3,991 4,605 5,655 8,903 11,973 13,815 16,965 19,955 26,709 35,919 44,515 59,865 80,127 115,739 133,545 179,595 347,217 400,635 578,695 1,041,651 1,736,085 5,208,255

Collatz Trajectory (250 steps to reach 1)

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

5,208,255 15,624,766 7,812,383 23,437,150 11,718,575 35,155,726 17,577,863 52,733,590 26,366,795 79,100,386 39,550,193 118,650,580 59,325,290 29,662,645 88,987,936 44,493,968 22,246,984 11,123,492 5,561,746 2,780,873 8,342,620 4,171,310 2,085,655 6,256,966 3,128,483 9,385,450 4,692,725 14,078,176 7,039,088 3,519,544 1,759,772 879,886 439,943 1,319,830 659,915 1,979,746 989,873 2,969,620 1,484,810 742,405 2,227,216 1,113,608 556,804 278,402 139,201 417,604 208,802 104,401 313,204 156,602 78,301 234,904 117,452 58,726 29,363 88,090 44,045 132,136 66,068 33,034

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