λ
Sequence Observatory

9,690,670

2 × 5 × 11 × 37 × 2381
Abundant Even Composite

Starting at 9,690,670, the Collatz iteration reaches 1 after 207 steps. The first transition is 4845335; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 2381
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,551,456
Proper Divisor Sum 9,860,786
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9690641 ← → #9690671

Radix Representation

Decimal 9690670
Binary 100100111101111000101110 (24 bits)
Octal 0o44757056
Hexadecimal 0x93DE2E

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 370 407 814 2,035 2,381 4,070 4,762 11,905 23,810 26,191 52,382 88,097 130,955 176,194 261,910 440,485 880,970 969,067 1,938,134 4,845,335 9,690,670

Collatz Trajectory (207 steps to reach 1)

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

9,690,670 4,845,335 14,536,006 7,268,003 21,804,010 10,902,005 32,706,016 16,353,008 8,176,504 4,088,252 2,044,126 1,022,063 3,066,190 1,533,095 4,599,286 2,299,643 6,898,930 3,449,465 10,348,396 5,174,198 2,587,099 7,761,298 3,880,649 11,641,948 5,820,974 2,910,487 8,731,462 4,365,731 13,097,194 6,548,597 19,645,792 9,822,896 4,911,448 2,455,724 1,227,862 613,931 1,841,794 920,897 2,762,692 1,381,346 690,673 2,072,020 1,036,010 518,005 1,554,016 777,008 388,504 194,252 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244

More profiles

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