λ
Sequence Observatory

8,433,495

32 × 5 × 7 × 41 × 653
Abundant Odd Composite

Starting at 8,433,495, the Collatz iteration reaches 1 after 181 steps. The first transition is 25300486; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 41 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,140,032
Proper Divisor Sum 8,706,537
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8433493 ← → #8433497

Radix Representation

Decimal 8433495
Binary 100000001010111101010111 (24 bits)
Octal 0o40127527
Hexadecimal 0x80AF57

Divisor Catalog (48)

1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 653 861 1,435 1,845 1,959 2,583 3,265 4,305 4,571 5,877 9,795 12,915 13,713 22,855 26,773 29,385 41,139 68,565 80,319 133,865 187,411 205,695 240,957 401,595 562,233 937,055 1,204,785 1,686,699 2,811,165 8,433,495

Collatz Trajectory (181 steps to reach 1)

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

8,433,495 25,300,486 12,650,243 37,950,730 18,975,365 56,926,096 28,463,048 14,231,524 7,115,762 3,557,881 10,673,644 5,336,822 2,668,411 8,005,234 4,002,617 12,007,852 6,003,926 3,001,963 9,005,890 4,502,945 13,508,836 6,754,418 3,377,209 10,131,628 5,065,814 2,532,907 7,598,722 3,799,361 11,398,084 5,699,042 2,849,521 8,548,564 4,274,282 2,137,141 6,411,424 3,205,712 1,602,856 801,428 400,714 200,357 601,072 300,536 150,268 75,134 37,567 112,702 56,351 169,054 84,527 253,582 126,791 380,374 190,187 570,562 285,281 855,844 427,922 213,961 641,884 320,942

More profiles

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