2,410,664

2³ × 301333

Starting at 2,410,664, the Collatz iteration reaches 1 after 112 steps. The first transition is 1205332; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 301333

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,520,010

Proper Divisor Sum 2,109,346

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2410657 ← → #2410687

Radix Representation

Decimal	2410664
Binary	1001001100100010101000 (22 bits)
Octal	0o11144250
Hexadecimal	0x24C8A8

Divisor Catalog (8)

1 2 4 8 301,333 602,666 1,205,332 2,410,664

Collatz Trajectory (112 steps to reach 1)

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

2,410,664 1,205,332 602,666 301,333 904,000 452,000 226,000 113,000 56,500 28,250 14,125 42,376 21,188 10,594 5,297 15,892 7,946 3,973 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

← Previous Integer #2,410,663 Browse Full Index Next Integer #2,410,665 →