λ
Sequence Observatory

8,721,894

2 × 3 × 73 × 19913
Abundant Even Composite

Starting at 8,721,894, the Collatz iteration reaches 1 after 124 steps. The first transition is 4360947; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 19913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,683,632
Proper Divisor Sum 8,961,738
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8721883 ← → #8721907

Radix Representation

Decimal 8721894
Binary 100001010001010111100110 (24 bits)
Octal 0o41212746
Hexadecimal 0x8515E6

Divisor Catalog (16)

1 2 3 6 73 146 219 438 19,913 39,826 59,739 119,478 1,453,649 2,907,298 4,360,947 8,721,894

Collatz Trajectory (124 steps to reach 1)

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

8,721,894 4,360,947 13,082,842 6,541,421 19,624,264 9,812,132 4,906,066 2,453,033 7,359,100 3,679,550 1,839,775 5,519,326 2,759,663 8,278,990 4,139,495 12,418,486 6,209,243 18,627,730 9,313,865 27,941,596 13,970,798 6,985,399 20,956,198 10,478,099 31,434,298 15,717,149 47,151,448 23,575,724 11,787,862 5,893,931 17,681,794 8,840,897 26,522,692 13,261,346 6,630,673 19,892,020 9,946,010 4,973,005 14,919,016 7,459,508 3,729,754 1,864,877 5,594,632 2,797,316 1,398,658 699,329 2,097,988 1,048,994 524,497 1,573,492 786,746 393,373 1,180,120 590,060 295,030 147,515 442,546 221,273 663,820 331,910

More profiles

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