λ
Sequence Observatory

7,867,681

7867681
Deficient Odd Prime

Starting at 7,867,681, the Collatz iteration reaches 1 after 261 steps. The first transition is 23603044; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7867681
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,867,682
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7867669 ← → #7867687

Radix Representation

Decimal 7867681
Binary 11110000000110100100001 (23 bits)
Octal 0o36006441
Hexadecimal 0x780D21

Divisor Catalog (2)

Collatz Trajectory (261 steps to reach 1)

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

7,867,681 23,603,044 11,801,522 5,900,761 17,702,284 8,851,142 4,425,571 13,276,714 6,638,357 19,915,072 9,957,536 4,978,768 2,489,384 1,244,692 622,346 311,173 933,520 466,760 233,380 116,690 58,345 175,036 87,518 43,759 131,278 65,639 196,918 98,459 295,378 147,689 443,068 221,534 110,767 332,302 166,151 498,454 249,227 747,682 373,841 1,121,524 560,762 280,381 841,144 420,572 210,286 105,143 315,430 157,715 473,146 236,573 709,720 354,860 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416

More profiles

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