8,833,280

2⁸ × 5 × 67 × 103

Starting at 8,833,280, the Collatz iteration reaches 1 after 181 steps. The first transition is 4416640; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 5 × 67 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,682,752

Proper Divisor Sum 12,849,472

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8833277 ← → #8833289

Radix Representation

Decimal	8833280
Binary	100001101100100100000000 (24 bits)
Octal	0o41544400
Hexadecimal	0x86C900

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 32 40 64 67 80 103 128 134 160 206 256 268 320 335 412 515 536 640 670 824 1,030 1,072 1,280 1,340 1,648 2,060 2,144 2,680 3,296 4,120 4,288 5,360 6,592 6,901 8,240 8,576 10,720 13,184 13,802 16,480 17,152 21,440 26,368 27,604 32,960 34,505 42,880 55,208 65,920 69,010 85,760 110,416

Collatz Trajectory (181 steps to reach 1)

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

8,833,280 4,416,640 2,208,320 1,104,160 552,080 276,040 138,020 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310

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