4,906,740

2² × 3 × 5 × 53 × 1543

Starting at 4,906,740, the Collatz iteration reaches 1 after 312 steps. The first transition is 2453370; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 53 × 1543

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,007,168

Proper Divisor Sum 9,100,428

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4906723 ← → #4906763

Radix Representation

Decimal	4906740
Binary	10010101101111011110100 (23 bits)
Octal	0o22557364
Hexadecimal	0x4ADEF4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1,060 1,543 1,590 3,086 3,180 4,629 6,172 7,715 9,258 15,430 18,516 23,145 30,860 46,290 81,779 92,580 163,558 245,337 327,116 408,895 490,674 817,790 981,348 1,226,685 1,635,580 2,453,370 4,906,740

Collatz Trajectory (312 steps to reach 1)

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

4,906,740 2,453,370 1,226,685 3,680,056 1,840,028 920,014 460,007 1,380,022 690,011 2,070,034 1,035,017 3,105,052 1,552,526 776,263 2,328,790 1,164,395 3,493,186 1,746,593 5,239,780 2,619,890 1,309,945 3,929,836 1,964,918 982,459 2,947,378 1,473,689 4,421,068 2,210,534 1,105,267 3,315,802 1,657,901 4,973,704 2,486,852 1,243,426 621,713 1,865,140 932,570 466,285 1,398,856 699,428 349,714 174,857 524,572 262,286 131,143 393,430 196,715 590,146 295,073 885,220 442,610 221,305 663,916 331,958 165,979 497,938 248,969 746,908 373,454 186,727

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