λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,772
9,107,772
22 × 3 × 37 × 73 × 281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 73 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,203,552
Proper Divisor Sum 13,095,780
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9107743 ← → #9107773

Radix Representation

Decimal 9107772
Binary 100010101111100100111100 (24 bits)
Octal 0o42574474
Hexadecimal 0x8AF93C

Divisor Catalog (48)

1 2 3 4 6 12 37 73 74 111 146 148 219 222 281 292 438 444 562 843 876 1,124 1,686 2,701 3,372 5,402 8,103 10,397 10,804 16,206 20,513 20,794 31,191 32,412 41,026 41,588 61,539 62,382 82,052 123,078 124,764 246,156 758,981 1,517,962 2,276,943 3,035,924 4,553,886 9,107,772

Collatz Trajectory (243 steps to reach 1)

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

9,107,772 4,553,886 2,276,943 6,830,830 3,415,415 10,246,246 5,123,123 15,369,370 7,684,685 23,054,056 11,527,028 5,763,514 2,881,757 8,645,272 4,322,636 2,161,318 1,080,659 3,241,978 1,620,989 4,862,968 2,431,484 1,215,742 607,871 1,823,614 911,807 2,735,422 1,367,711 4,103,134 2,051,567 6,154,702 3,077,351 9,232,054 4,616,027 13,848,082 6,924,041 20,772,124 10,386,062 5,193,031 15,579,094 7,789,547 23,368,642 11,684,321 35,052,964 17,526,482 8,763,241 26,289,724 13,144,862 6,572,431 19,717,294 9,858,647 29,575,942 14,787,971 44,363,914 22,181,957 66,545,872 33,272,936 16,636,468 8,318,234 4,159,117 12,477,352

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #9,107,771 Browse Full Index Next Integer #9,107,773 →