5,758,632

2³ × 3² × 11² × 661

Starting at 5,758,632, the Collatz iteration reaches 1 after 69 steps. The first transition is 2879316; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11^2 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,168,970

Proper Divisor Sum 11,410,338

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5758619 ← → #5758637

Radix Representation

Decimal	5758632
Binary	10101111101111010101000 (23 bits)
Octal	0o25757250
Hexadecimal	0x57DEA8

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 661 726 792 968 1,089 1,322 1,452 1,983 2,178 2,644 2,904 3,966 4,356 5,288 5,949 7,271 7,932 8,712 11,898 14,542 15,864 21,813 23,796 29,084 43,626 47,592 58,168 65,439 79,981 87,252 130,878 159,962 174,504

Collatz Trajectory (69 steps to reach 1)

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

5,758,632 2,879,316 1,439,658 719,829 2,159,488 1,079,744 539,872 269,936 134,968 67,484 33,742 16,871 50,614 25,307 75,922 37,961 113,884 56,942 28,471 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170

← Previous Integer #5,758,631 Browse Full Index Next Integer #5,758,633 →