8,173,740

2² × 3 × 5 × 23 × 5923

Starting at 8,173,740, the Collatz iteration reaches 1 after 230 steps. The first transition is 4086870; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 5923

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,885,568

Proper Divisor Sum 15,711,828

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8173729 ← → #8173751

Radix Representation

Decimal	8173740
Binary	11111001011100010101100 (23 bits)
Octal	0o37134254
Hexadecimal	0x7CB8AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1,380 5,923 11,846 17,769 23,692 29,615 35,538 59,230 71,076 88,845 118,460 136,229 177,690 272,458 355,380 408,687 544,916 681,145 817,374 1,362,290 1,634,748 2,043,435 2,724,580 4,086,870 8,173,740

Collatz Trajectory (230 steps to reach 1)

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

8,173,740 4,086,870 2,043,435 6,130,306 3,065,153 9,195,460 4,597,730 2,298,865 6,896,596 3,448,298 1,724,149 5,172,448 2,586,224 1,293,112 646,556 323,278 161,639 484,918 242,459 727,378 363,689 1,091,068 545,534 272,767 818,302 409,151 1,227,454 613,727 1,841,182 920,591 2,761,774 1,380,887 4,142,662 2,071,331 6,213,994 3,106,997 9,320,992 4,660,496 2,330,248 1,165,124 582,562 291,281 873,844 436,922 218,461 655,384 327,692 163,846 81,923 245,770 122,885 368,656 184,328 92,164 46,082 23,041 69,124 34,562 17,281 51,844

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