8,473,292

2² × 23 × 31 × 2971

Starting at 8,473,292, the Collatz iteration reaches 1 after 124 steps. The first transition is 4236646; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 2971

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,977,472

Proper Divisor Sum 7,504,180

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8473277 ← → #8473321

Radix Representation

Decimal	8473292
Binary	100000010100101011001100 (24 bits)
Octal	0o40245314
Hexadecimal	0x814ACC

Divisor Catalog (24)

1 2 4 23 31 46 62 92 124 713 1,426 2,852 2,971 5,942 11,884 68,333 92,101 136,666 184,202 273,332 368,404 2,118,323 4,236,646 8,473,292

Collatz Trajectory (124 steps to reach 1)

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

8,473,292 4,236,646 2,118,323 6,354,970 3,177,485 9,532,456 4,766,228 2,383,114 1,191,557 3,574,672 1,787,336 893,668 446,834 223,417 670,252 335,126 167,563 502,690 251,345 754,036 377,018 188,509 565,528 282,764 141,382 70,691 212,074 106,037 318,112 159,056 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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