2,632,743

3⁴ × 32503

2,632,743 factors as 3^4 × 32503. Its 10 positive divisors give a proper-divisor sum of 1,300,241, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3^4 × 32503

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 3,932,984

Proper Divisor Sum 1,300,241

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2632727 ← → #2632759

Radix Representation

Decimal	2632743
Binary	1010000010110000100111 (22 bits)
Octal	0o12026047
Hexadecimal	0x282C27

Divisor Catalog (10)

1 3 9 27 81 32,503 97,509 292,527 877,581 2,632,743

Collatz Trajectory (143 steps to reach 1)

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

2,632,743 7,898,230 3,949,115 11,847,346 5,923,673 17,771,020 8,885,510 4,442,755 13,328,266 6,664,133 19,992,400 9,996,200 4,998,100 2,499,050 1,249,525 3,748,576 1,874,288 937,144 468,572 234,286 117,143 351,430 175,715 527,146 263,573 790,720 395,360 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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