4,946,728

2³ × 17 × 36373

4,946,728 factors as 2^3 × 17 × 36373. Its 16 positive divisors give a proper-divisor sum of 4,874,252, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 36373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,820,980

Proper Divisor Sum 4,874,252

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4946723 ← → #4946729

Radix Representation

Decimal	4946728
Binary	10010110111101100101000 (23 bits)
Octal	0o22675450
Hexadecimal	0x4B7B28

Divisor Catalog (16)

1 2 4 8 17 34 68 136 36,373 72,746 145,492 290,984 618,341 1,236,682 2,473,364 4,946,728

Collatz Trajectory (82 steps to reach 1)

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

4,946,728 2,473,364 1,236,682 618,341 1,855,024 927,512 463,756 231,878 115,939 347,818 173,909 521,728 260,864 130,432 65,216 32,608 16,304 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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