λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,534,471
21,534,471
33 × 72 × 41 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 41 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,112,480
Proper Divisor Sum 16,578,009
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21534451 ← → #21534479

Radix Representation

Decimal 21534471
Binary 1010010001001011100000111 (25 bits)
Octal 0o122113407
Hexadecimal 0x1489707

Divisor Catalog (48)

1 3 7 9 21 27 41 49 63 123 147 189 287 369 397 441 861 1,107 1,191 1,323 2,009 2,583 2,779 3,573 6,027 7,749 8,337 10,719 16,277 18,081 19,453 25,011 48,831 54,243 58,359 75,033 113,939 146,493 175,077 341,817 439,479 525,231 797,573 1,025,451 2,392,719 3,076,353 7,178,157 21,534,471

Collatz Trajectory (203 steps to reach 1)

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

21,534,471 64,603,414 32,301,707 96,905,122 48,452,561 145,357,684 72,678,842 36,339,421 109,018,264 54,509,132 27,254,566 13,627,283 40,881,850 20,440,925 61,322,776 30,661,388 15,330,694 7,665,347 22,996,042 11,498,021 34,494,064 17,247,032 8,623,516 4,311,758 2,155,879 6,467,638 3,233,819 9,701,458 4,850,729 14,552,188 7,276,094 3,638,047 10,914,142 5,457,071 16,371,214 8,185,607 24,556,822 12,278,411 36,835,234 18,417,617 55,252,852 27,626,426 13,813,213 41,439,640 20,719,820 10,359,910 5,179,955 15,539,866 7,769,933 23,309,800 11,654,900 5,827,450 2,913,725 8,741,176 4,370,588 2,185,294 1,092,647 3,277,942 1,638,971 4,916,914

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #21,534,470 Browse Full Index Next Integer #21,534,472 →