λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,477,697
40,477,697
132 × 17 × 73 × 193
Deficient Odd Composite

Prime Factor Structure

Factorization String 13^2 × 17 × 73 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,288,664
Proper Divisor Sum 6,810,967
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #40477693 ← → #40477699

Radix Representation

Decimal 40477697
Binary 10011010011010010000000001 (26 bits)
Octal 0o232322001
Hexadecimal 0x269A401

Divisor Catalog (24)

1 13 17 73 169 193 221 949 1,241 2,509 2,873 3,281 12,337 14,089 16,133 32,617 42,653 183,157 209,729 239,513 554,489 2,381,041 3,113,669 40,477,697

Collatz Trajectory (160 steps to reach 1)

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

40,477,697 121,433,092 60,716,546 30,358,273 91,074,820 45,537,410 22,768,705 68,306,116 34,153,058 17,076,529 51,229,588 25,614,794 12,807,397 38,422,192 19,211,096 9,605,548 4,802,774 2,401,387 7,204,162 3,602,081 10,806,244 5,403,122 2,701,561 8,104,684 4,052,342 2,026,171 6,078,514 3,039,257 9,117,772 4,558,886 2,279,443 6,838,330 3,419,165 10,257,496 5,128,748 2,564,374 1,282,187 3,846,562 1,923,281 5,769,844 2,884,922 1,442,461 4,327,384 2,163,692 1,081,846 540,923 1,622,770 811,385 2,434,156 1,217,078 608,539 1,825,618 912,809 2,738,428 1,369,214 684,607 2,053,822 1,026,911 3,080,734 1,540,367

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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