λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,487,527
9,487,527
3 × 72 × 233 × 277
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 233 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,831,856
Proper Divisor Sum 5,344,329
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9487501 ← → #9487529

Radix Representation

Decimal 9487527
Binary 100100001100010010100111 (24 bits)
Octal 0o44142247
Hexadecimal 0x90C4A7

Divisor Catalog (24)

1 3 7 21 49 147 233 277 699 831 1,631 1,939 4,893 5,817 11,417 13,573 34,251 40,719 64,541 193,623 451,787 1,355,361 3,162,509 9,487,527

Collatz Trajectory (106 steps to reach 1)

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

9,487,527 28,462,582 14,231,291 42,693,874 21,346,937 64,040,812 32,020,406 16,010,203 48,030,610 24,015,305 72,045,916 36,022,958 18,011,479 54,034,438 27,017,219 81,051,658 40,525,829 121,577,488 60,788,744 30,394,372 15,197,186 7,598,593 22,795,780 11,397,890 5,698,945 17,096,836 8,548,418 4,274,209 12,822,628 6,411,314 3,205,657 9,616,972 4,808,486 2,404,243 7,212,730 3,606,365 10,819,096 5,409,548 2,704,774 1,352,387 4,057,162 2,028,581 6,085,744 3,042,872 1,521,436 760,718 380,359 1,141,078 570,539 1,711,618 855,809 2,567,428 1,283,714 641,857 1,925,572 962,786 481,393 1,444,180 722,090 361,045

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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