λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,192,572
31,192,572
22 × 3 × 31 × 71 × 1181
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 71 × 1181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,253,184
Proper Divisor Sum 45,060,612
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #31192561 ← → #31192583

Radix Representation

Decimal 31192572
Binary 1110110111111010111111100 (25 bits)
Octal 0o166772774
Hexadecimal 0x1DBF5FC

Divisor Catalog (48)

1 2 3 4 6 12 31 62 71 93 124 142 186 213 284 372 426 852 1,181 2,201 2,362 3,543 4,402 4,724 6,603 7,086 8,804 13,206 14,172 26,412 36,611 73,222 83,851 109,833 146,444 167,702 219,666 251,553 335,404 439,332 503,106 1,006,212 2,599,381 5,198,762 7,798,143 10,397,524 15,596,286 31,192,572

Collatz Trajectory (219 steps to reach 1)

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

31,192,572 15,596,286 7,798,143 23,394,430 11,697,215 35,091,646 17,545,823 52,637,470 26,318,735 78,956,206 39,478,103 118,434,310 59,217,155 177,651,466 88,825,733 266,477,200 133,238,600 66,619,300 33,309,650 16,654,825 49,964,476 24,982,238 12,491,119 37,473,358 18,736,679 56,210,038 28,105,019 84,315,058 42,157,529 126,472,588 63,236,294 31,618,147 94,854,442 47,427,221 142,281,664 71,140,832 35,570,416 17,785,208 8,892,604 4,446,302 2,223,151 6,669,454 3,334,727 10,004,182 5,002,091 15,006,274 7,503,137 22,509,412 11,254,706 5,627,353 16,882,060 8,441,030 4,220,515 12,661,546 6,330,773 18,992,320 9,496,160 4,748,080 2,374,040 1,187,020

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
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