λ
Sequence Observatory

7,306,843

281 × 26003
Deficient Odd Composite

Starting at 7,306,843, the Collatz iteration reaches 1 after 222 steps. The first transition is 21920530; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 281 × 26003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,333,128
Proper Divisor Sum 26,285
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7306841 ← → #7306853

Radix Representation

Decimal 7306843
Binary 11011110111111001011011 (23 bits)
Octal 0o33677133
Hexadecimal 0x6F7E5B

Divisor Catalog (4)

1 281 26,003 7,306,843

Collatz Trajectory (222 steps to reach 1)

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

7,306,843 21,920,530 10,960,265 32,880,796 16,440,398 8,220,199 24,660,598 12,330,299 36,990,898 18,495,449 55,486,348 27,743,174 13,871,587 41,614,762 20,807,381 62,422,144 31,211,072 15,605,536 7,802,768 3,901,384 1,950,692 975,346 487,673 1,463,020 731,510 365,755 1,097,266 548,633 1,645,900 822,950 411,475 1,234,426 617,213 1,851,640 925,820 462,910 231,455 694,366 347,183 1,041,550 520,775 1,562,326 781,163 2,343,490 1,171,745 3,515,236 1,757,618 878,809 2,636,428 1,318,214 659,107 1,977,322 988,661 2,965,984 1,482,992 741,496 370,748 185,374 92,687 278,062

More profiles

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