λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,132,479
4,132,479
3 × 13 × 17 × 23 × 271
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 23 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,580,224
Proper Divisor Sum 2,447,745
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4132477 ← → #4132489

Radix Representation

Decimal 4132479
Binary 1111110000111001111111 (22 bits)
Octal 0o17607177
Hexadecimal 0x3F0E7F

Divisor Catalog (32)

1 3 13 17 23 39 51 69 221 271 299 391 663 813 897 1,173 3,523 4,607 5,083 6,233 10,569 13,821 15,249 18,699 59,891 81,029 105,961 179,673 243,087 317,883 1,377,493 4,132,479

Collatz Trajectory (167 steps to reach 1)

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

4,132,479 12,397,438 6,198,719 18,596,158 9,298,079 27,894,238 13,947,119 41,841,358 20,920,679 62,762,038 31,381,019 94,143,058 47,071,529 141,214,588 70,607,294 35,303,647 105,910,942 52,955,471 158,866,414 79,433,207 238,299,622 119,149,811 357,449,434 178,724,717 536,174,152 268,087,076 134,043,538 67,021,769 201,065,308 100,532,654 50,266,327 150,798,982 75,399,491 226,198,474 113,099,237 339,297,712 169,648,856 84,824,428 42,412,214 21,206,107 63,618,322 31,809,161 95,427,484 47,713,742 23,856,871 71,570,614 35,785,307 107,355,922 53,677,961 161,033,884 80,516,942 40,258,471 120,775,414 60,387,707 181,163,122 90,581,561 271,744,684 135,872,342 67,936,171 203,808,514

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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