7,280,165

5 × 17 × 41 × 2089

Starting at 7,280,165, the Collatz iteration reaches 1 after 111 steps. The first transition is 21840496; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 41 × 2089

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,480,240

Proper Divisor Sum 2,200,075

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7280149 ← → #7280183

Radix Representation

Decimal	7280165
Binary	11011110001011000100101 (23 bits)
Octal	0o33613045
Hexadecimal	0x6F1625

Divisor Catalog (16)

1 5 17 41 85 205 697 2,089 3,485 10,445 35,513 85,649 177,565 428,245 1,456,033 7,280,165

Collatz Trajectory (111 steps to reach 1)

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

7,280,165 21,840,496 10,920,248 5,460,124 2,730,062 1,365,031 4,095,094 2,047,547 6,142,642 3,071,321 9,213,964 4,606,982 2,303,491 6,910,474 3,455,237 10,365,712 5,182,856 2,591,428 1,295,714 647,857 1,943,572 971,786 485,893 1,457,680 728,840 364,420 182,210 91,105 273,316 136,658 68,329 204,988 102,494 51,247 153,742 76,871 230,614 115,307 345,922 172,961 518,884 259,442 129,721 389,164 194,582 97,291 291,874 145,937 437,812 218,906 109,453 328,360 164,180 82,090 41,045 123,136 61,568 30,784 15,392 7,696

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