5,379,968

2⁷ × 11 × 3821

Starting at 5,379,968, the Collatz iteration reaches 1 after 113 steps. The first transition is 2689984; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 11 × 3821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,695,320

Proper Divisor Sum 6,315,352

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #5379947 ← → #5379971

Radix Representation

Decimal	5379968
Binary	10100100001011110000000 (23 bits)
Octal	0o24413600
Hexadecimal	0x521780

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 3,821 7,642 15,284 30,568 42,031 61,136 84,062 122,272 168,124 244,544 336,248 489,088 672,496 1,344,992 2,689,984 5,379,968

Collatz Trajectory (113 steps to reach 1)

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

5,379,968 2,689,984 1,344,992 672,496 336,248 168,124 84,062 42,031 126,094 63,047 189,142 94,571 283,714 141,857 425,572 212,786 106,393 319,180 159,590 79,795 239,386 119,693 359,080 179,540 89,770 44,885 134,656 67,328 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

← Previous Integer #5,379,967 Browse Full Index Next Integer #5,379,969 →