7,365,118

2 × 103 × 35753

Starting at 7,365,118, the Collatz iteration reaches 1 after 279 steps. The first transition is 3682559; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 103 × 35753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,155,248

Proper Divisor Sum 3,790,130

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7365053 ← → #7365119

Radix Representation

Decimal	7365118
Binary	11100000110000111111110 (23 bits)
Octal	0o34060776
Hexadecimal	0x7061FE

Divisor Catalog (8)

1 2 103 206 35,753 71,506 3,682,559 7,365,118

Collatz Trajectory (279 steps to reach 1)

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

7,365,118 3,682,559 11,047,678 5,523,839 16,571,518 8,285,759 24,857,278 12,428,639 37,285,918 18,642,959 55,928,878 27,964,439 83,893,318 41,946,659 125,839,978 62,919,989 188,759,968 94,379,984 47,189,992 23,594,996 11,797,498 5,898,749 17,696,248 8,848,124 4,424,062 2,212,031 6,636,094 3,318,047 9,954,142 4,977,071 14,931,214 7,465,607 22,396,822 11,198,411 33,595,234 16,797,617 50,392,852 25,196,426 12,598,213 37,794,640 18,897,320 9,448,660 4,724,330 2,362,165 7,086,496 3,543,248 1,771,624 885,812 442,906 221,453 664,360 332,180 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714

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