5,729,500

2² × 5³ × 7 × 1637

5,729,500 has digital root 1. The neighboring primes are 5729491 and 5729509; its proper-divisor sum differs from the starting integer by 2,850,568.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 1637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,309,568

Proper Divisor Sum 8,580,068

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5729491 ← → #5729509

Radix Representation

Decimal	5729500
Binary	10101110110110011011100 (23 bits)
Octal	0o25666334
Hexadecimal	0x576CDC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1,637 1,750 3,274 3,500 6,548 8,185 11,459 16,370 22,918 32,740 40,925 45,836 57,295 81,850 114,590 163,700 204,625 229,180 286,475 409,250 572,950 818,500 1,145,900 1,432,375 2,864,750 5,729,500

Collatz Trajectory (126 steps to reach 1)

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

5,729,500 2,864,750 1,432,375 4,297,126 2,148,563 6,445,690 3,222,845 9,668,536 4,834,268 2,417,134 1,208,567 3,625,702 1,812,851 5,438,554 2,719,277 8,157,832 4,078,916 2,039,458 1,019,729 3,059,188 1,529,594 764,797 2,294,392 1,147,196 573,598 286,799 860,398 430,199 1,290,598 645,299 1,935,898 967,949 2,903,848 1,451,924 725,962 362,981 1,088,944 544,472 272,236 136,118 68,059 204,178 102,089 306,268 153,134 76,567 229,702 114,851 344,554 172,277 516,832 258,416 129,208 64,604 32,302 16,151 48,454 24,227 72,682 36,341

← Previous Integer #5,729,499 Browse Full Index Next Integer #5,729,501 →