λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,144,751
2,144,751
3 × 7 × 41 × 47 × 53
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 41 × 47 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,483,648
Proper Divisor Sum 1,338,897
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2144749 ← → #2144759

Radix Representation

Decimal 2144751
Binary 1000001011100111101111 (22 bits)
Octal 0o10134757
Hexadecimal 0x20B9EF

Divisor Catalog (32)

1 3 7 21 41 47 53 123 141 159 287 329 371 861 987 1,113 1,927 2,173 2,491 5,781 6,519 7,473 13,489 15,211 17,437 40,467 45,633 52,311 102,131 306,393 714,917 2,144,751

Collatz Trajectory (210 steps to reach 1)

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

2,144,751 6,434,254 3,217,127 9,651,382 4,825,691 14,477,074 7,238,537 21,715,612 10,857,806 5,428,903 16,286,710 8,143,355 24,430,066 12,215,033 36,645,100 18,322,550 9,161,275 27,483,826 13,741,913 41,225,740 20,612,870 10,306,435 30,919,306 15,459,653 46,378,960 23,189,480 11,594,740 5,797,370 2,898,685 8,696,056 4,348,028 2,174,014 1,087,007 3,261,022 1,630,511 4,891,534 2,445,767 7,337,302 3,668,651 11,005,954 5,502,977 16,508,932 8,254,466 4,127,233 12,381,700 6,190,850 3,095,425 9,286,276 4,643,138 2,321,569 6,964,708 3,482,354 1,741,177 5,223,532 2,611,766 1,305,883 3,917,650 1,958,825 5,876,476 2,938,238

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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