λ
Sequence Observatory

9,927,726

2 × 3 × 739 × 2239
Abundant Even Composite

Starting at 9,927,726, the Collatz iteration reaches 1 after 176 steps. The first transition is 4963863; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 739 × 2239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,891,200
Proper Divisor Sum 9,963,474
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9927707 ← → #9927733

Radix Representation

Decimal 9927726
Binary 100101110111110000101110 (24 bits)
Octal 0o45676056
Hexadecimal 0x977C2E

Divisor Catalog (16)

1 2 3 6 739 1,478 2,217 2,239 4,434 4,478 6,717 13,434 1,654,621 3,309,242 4,963,863 9,927,726

Collatz Trajectory (176 steps to reach 1)

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

9,927,726 4,963,863 14,891,590 7,445,795 22,337,386 11,168,693 33,506,080 16,753,040 8,376,520 4,188,260 2,094,130 1,047,065 3,141,196 1,570,598 785,299 2,355,898 1,177,949 3,533,848 1,766,924 883,462 441,731 1,325,194 662,597 1,987,792 993,896 496,948 248,474 124,237 372,712 186,356 93,178 46,589 139,768 69,884 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496

More profiles

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