4,642,640

2⁴ × 5 × 131 × 443

For 4,642,640, the 40 positive divisors have a total of 10,901,088. Removing 4,642,640 leaves 6,258,448, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 131 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,901,088

Proper Divisor Sum 6,258,448

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4642621 ← → #4642643

Radix Representation

Decimal	4642640
Binary	10001101101011101010000 (23 bits)
Octal	0o21553520
Hexadecimal	0x46D750

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 131 262 443 524 655 886 1,048 1,310 1,772 2,096 2,215 2,620 3,544 4,430 5,240 7,088 8,860 10,480 17,720 35,440 58,033 116,066 232,132 290,165 464,264 580,330 928,528 1,160,660 2,321,320 4,642,640

Collatz Trajectory (56 steps to reach 1)

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

4,642,640 2,321,320 1,160,660 580,330 290,165 870,496 435,248 217,624 108,812 54,406 27,203 81,610 40,805 122,416 61,208 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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