λ
Sequence Observatory

9,061,056

26 × 32 × 15731
Abundant Even Composite

Starting at 9,061,056, the Collatz iteration reaches 1 after 93 steps. The first transition is 4530528; the starting value is even with 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 15731
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 25,973,532
Proper Divisor Sum 16,912,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9061033 ← → #9061097

Radix Representation

Decimal 9061056
Binary 100010100100001011000000 (24 bits)
Octal 0o42441300
Hexadecimal 0x8A42C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15,731 31,462 47,193 62,924 94,386 125,848 141,579 188,772 251,696 283,158 377,544 503,392 566,316 755,088 1,006,784 1,132,632 1,510,176 2,265,264 3,020,352 4,530,528 9,061,056

Collatz Trajectory (93 steps to reach 1)

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

9,061,056 4,530,528 2,265,264 1,132,632 566,316 283,158 141,579 424,738 212,369 637,108 318,554 159,277 477,832 238,916 119,458 59,729 179,188 89,594 44,797 134,392 67,196 33,598 16,799 50,398 25,199 75,598 37,799 113,398 56,699 170,098 85,049 255,148 127,574 63,787 191,362 95,681 287,044 143,522 71,761 215,284 107,642 53,821 161,464 80,732 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580

More profiles

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