λ
Sequence Observatory

8,460,403

7 × 929 × 1301
Deficient Odd Composite

Starting at 8,460,403, the Collatz iteration reaches 1 after 212 steps. The first transition is 25381210; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 929 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,686,880
Proper Divisor Sum 1,226,477
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8460401 ← → #8460409

Radix Representation

Decimal 8460403
Binary 100000010001100001110011 (24 bits)
Octal 0o40214163
Hexadecimal 0x811873

Divisor Catalog (8)

1 7 929 1,301 6,503 9,107 1,208,629 8,460,403

Collatz Trajectory (212 steps to reach 1)

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

8,460,403 25,381,210 12,690,605 38,071,816 19,035,908 9,517,954 4,758,977 14,276,932 7,138,466 3,569,233 10,707,700 5,353,850 2,676,925 8,030,776 4,015,388 2,007,694 1,003,847 3,011,542 1,505,771 4,517,314 2,258,657 6,775,972 3,387,986 1,693,993 5,081,980 2,540,990 1,270,495 3,811,486 1,905,743 5,717,230 2,858,615 8,575,846 4,287,923 12,863,770 6,431,885 19,295,656 9,647,828 4,823,914 2,411,957 7,235,872 3,617,936 1,808,968 904,484 452,242 226,121 678,364 339,182 169,591 508,774 254,387 763,162 381,581 1,144,744 572,372 286,186 143,093 429,280 214,640 107,320 53,660

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