7,598,871

3² × 7² × 17231

Starting at 7,598,871, the Collatz iteration reaches 1 after 191 steps. The first transition is 22796614; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 17231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,768,912

Proper Divisor Sum 5,170,041

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7598869 ← → #7598873

Radix Representation

Decimal	7598871
Binary	11100111111001100010111 (23 bits)
Octal	0o34771427
Hexadecimal	0x73F317

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 17,231 51,693 120,617 155,079 361,851 844,319 1,085,553 2,532,957 7,598,871

Collatz Trajectory (191 steps to reach 1)

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

7,598,871 22,796,614 11,398,307 34,194,922 17,097,461 51,292,384 25,646,192 12,823,096 6,411,548 3,205,774 1,602,887 4,808,662 2,404,331 7,212,994 3,606,497 10,819,492 5,409,746 2,704,873 8,114,620 4,057,310 2,028,655 6,085,966 3,042,983 9,128,950 4,564,475 13,693,426 6,846,713 20,540,140 10,270,070 5,135,035 15,405,106 7,702,553 23,107,660 11,553,830 5,776,915 17,330,746 8,665,373 25,996,120 12,998,060 6,499,030 3,249,515 9,748,546 4,874,273 14,622,820 7,311,410 3,655,705 10,967,116 5,483,558 2,741,779 8,225,338 4,112,669 12,338,008 6,169,004 3,084,502 1,542,251 4,626,754 2,313,377 6,940,132 3,470,066 1,735,033

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