λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,352,742
46,352,742
2 × 3 × 19 × 617 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 19 × 617 × 659
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 97,891,200
Proper Divisor Sum 51,538,458
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #46352707 ← → #46352743

Radix Representation

Decimal 46352742
Binary 10110000110100100101100110 (26 bits)
Octal 0o260644546
Hexadecimal 0x2C34966

Divisor Catalog (32)

1 2 3 6 19 38 57 114 617 659 1,234 1,318 1,851 1,977 3,702 3,954 11,723 12,521 23,446 25,042 35,169 37,563 70,338 75,126 406,603 813,206 1,219,809 2,439,618 7,725,457 15,450,914 23,176,371 46,352,742

Collatz Trajectory (186 steps to reach 1)

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

46,352,742 23,176,371 69,529,114 34,764,557 104,293,672 52,146,836 26,073,418 13,036,709 39,110,128 19,555,064 9,777,532 4,888,766 2,444,383 7,333,150 3,666,575 10,999,726 5,499,863 16,499,590 8,249,795 24,749,386 12,374,693 37,124,080 18,562,040 9,281,020 4,640,510 2,320,255 6,960,766 3,480,383 10,441,150 5,220,575 15,661,726 7,830,863 23,492,590 11,746,295 35,238,886 17,619,443 52,858,330 26,429,165 79,287,496 39,643,748 19,821,874 9,910,937 29,732,812 14,866,406 7,433,203 22,299,610 11,149,805 33,449,416 16,724,708 8,362,354 4,181,177 12,543,532 6,271,766 3,135,883 9,407,650 4,703,825 14,111,476 7,055,738 3,527,869 10,583,608

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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