4,923,792

2⁴ × 3² × 31 × 1103

Starting at 4,923,792, the Collatz iteration reaches 1 after 175 steps. The first transition is 2461896; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 31 × 1103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 14,237,184

Proper Divisor Sum 9,313,392

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4923791 ← → #4923811

Radix Representation

Decimal	4923792
Binary	10010110010000110010000 (23 bits)
Octal	0o22620620
Hexadecimal	0x4B2190

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1,103 1,116 1,488 2,206 2,232 3,309 4,412 4,464 6,618 8,824 9,927 13,236 17,648 19,854 26,472 34,193 39,708 52,944 68,386 79,416 102,579 136,772 158,832 205,158 273,544 307,737 410,316 547,088 615,474 820,632 1,230,948 1,641,264 2,461,896 4,923,792

Collatz Trajectory (175 steps to reach 1)

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

4,923,792 2,461,896 1,230,948 615,474 307,737 923,212 461,606 230,803 692,410 346,205 1,038,616 519,308 259,654 129,827 389,482 194,741 584,224 292,112 146,056 73,028 36,514 18,257 54,772 27,386 13,693 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145

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