λ
Sequence Observatory

3,679,692

22 × 3 × 19 × 16139
Abundant Even Composite

Starting at 3,679,692, the Collatz iteration reaches 1 after 97 steps. The first transition is 1839846; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 16139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,038,400
Proper Divisor Sum 5,358,708
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3679691 ← → #3679693

Radix Representation

Decimal 3679692
Binary 1110000010010111001100 (22 bits)
Octal 0o16022714
Hexadecimal 0x3825CC

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 16,139 32,278 48,417 64,556 96,834 193,668 306,641 613,282 919,923 1,226,564 1,839,846 3,679,692

Collatz Trajectory (97 steps to reach 1)

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

3,679,692 1,839,846 919,923 2,759,770 1,379,885 4,139,656 2,069,828 1,034,914 517,457 1,552,372 776,186 388,093 1,164,280 582,140 291,070 145,535 436,606 218,303 654,910 327,455 982,366 491,183 1,473,550 736,775 2,210,326 1,105,163 3,315,490 1,657,745 4,973,236 2,486,618 1,243,309 3,729,928 1,864,964 932,482 466,241 1,398,724 699,362 349,681 1,049,044 524,522 262,261 786,784 393,392 196,696 98,348 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890

More profiles

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