5,732,436

2² × 3 × 541 × 883

5,732,436 has digital root 3. The neighboring primes are 5732407 and 5732437; its proper-divisor sum differs from the starting integer by 1,950,712.

Prime Factor Structure

Factorization String 2^2 × 3 × 541 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,415,584

Proper Divisor Sum 7,683,148

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5732407 ← → #5732437

Radix Representation

Decimal	5732436
Binary	10101110111100001010100 (23 bits)
Octal	0o25674124
Hexadecimal	0x577854

Divisor Catalog (24)

1 2 3 4 6 12 541 883 1,082 1,623 1,766 2,164 2,649 3,246 3,532 5,298 6,492 10,596 477,703 955,406 1,433,109 1,910,812 2,866,218 5,732,436

Collatz Trajectory (170 steps to reach 1)

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

5,732,436 2,866,218 1,433,109 4,299,328 2,149,664 1,074,832 537,416 268,708 134,354 67,177 201,532 100,766 50,383 151,150 75,575 226,726 113,363 340,090 170,045 510,136 255,068 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012

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