7,608,179

29 × 262351

Starting at 7,608,179, the Collatz iteration reaches 1 after 129 steps. The first transition is 22824538; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 29 × 262351

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,870,560

Proper Divisor Sum 262,381

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7608169 ← → #7608187

Radix Representation

Decimal	7608179
Binary	11101000001011101110011 (23 bits)
Octal	0o35013563
Hexadecimal	0x741773

Divisor Catalog (4)

1 29 262,351 7,608,179

Collatz Trajectory (129 steps to reach 1)

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

7,608,179 22,824,538 11,412,269 34,236,808 17,118,404 8,559,202 4,279,601 12,838,804 6,419,402 3,209,701 9,629,104 4,814,552 2,407,276 1,203,638 601,819 1,805,458 902,729 2,708,188 1,354,094 677,047 2,031,142 1,015,571 3,046,714 1,523,357 4,570,072 2,285,036 1,142,518 571,259 1,713,778 856,889 2,570,668 1,285,334 642,667 1,928,002 964,001 2,892,004 1,446,002 723,001 2,169,004 1,084,502 542,251 1,626,754 813,377 2,440,132 1,220,066 610,033 1,830,100 915,050 457,525 1,372,576 686,288 343,144 171,572 85,786 42,893 128,680 64,340 32,170 16,085 48,256

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