6,829,515

3⁵ × 5 × 7 × 11 × 73

Starting at 6,829,515, the Collatz iteration reaches 1 after 129 steps. The first transition is 20488546; the starting value is odd with 96 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 11 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,515,136

Proper Divisor Sum 8,685,621

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6829513 ← → #6829547

Radix Representation

Decimal	6829515
Binary	11010000011010111001011 (23 bits)
Octal	0o32032713
Hexadecimal	0x6835CB

Divisor Catalog (60 of 96)

1 3 5 7 9 11 15 21 27 33 35 45 55 63 73 77 81 99 105 135 165 189 219 231 243 297 315 365 385 405 495 511 567 657 693 803 891 945 1,095 1,155 1,215 1,485 1,533 1,701 1,971 2,079 2,409 2,555 2,673 2,835 3,285 3,465 4,015 4,455 4,599 5,621 5,913 6,237 7,227 7,665

Collatz Trajectory (129 steps to reach 1)

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

6,829,515 20,488,546 10,244,273 30,732,820 15,366,410 7,683,205 23,049,616 11,524,808 5,762,404 2,881,202 1,440,601 4,321,804 2,160,902 1,080,451 3,241,354 1,620,677 4,862,032 2,431,016 1,215,508 607,754 303,877 911,632 455,816 227,908 113,954 56,977 170,932 85,466 42,733 128,200 64,100 32,050 16,025 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222

← Previous Integer #6,829,514 Browse Full Index Next Integer #6,829,516 →