λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,620,646
37,620,646
2 × 7 × 19 × 233 × 607
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 19 × 233 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,290,560
Proper Divisor Sum 30,669,914
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37620641 ← → #37620659

Radix Representation

Decimal 37620646
Binary 10001111100000101110100110 (26 bits)
Octal 0o217405646
Hexadecimal 0x23E0BA6

Divisor Catalog (32)

1 2 7 14 19 38 133 233 266 466 607 1,214 1,631 3,262 4,249 4,427 8,498 8,854 11,533 23,066 30,989 61,978 80,731 141,431 161,462 282,862 990,017 1,980,034 2,687,189 5,374,378 18,810,323 37,620,646

Collatz Trajectory (271 steps to reach 1)

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

37,620,646 18,810,323 56,430,970 28,215,485 84,646,456 42,323,228 21,161,614 10,580,807 31,742,422 15,871,211 47,613,634 23,806,817 71,420,452 35,710,226 17,855,113 53,565,340 26,782,670 13,391,335 40,174,006 20,087,003 60,261,010 30,130,505 90,391,516 45,195,758 22,597,879 67,793,638 33,896,819 101,690,458 50,845,229 152,535,688 76,267,844 38,133,922 19,066,961 57,200,884 28,600,442 14,300,221 42,900,664 21,450,332 10,725,166 5,362,583 16,087,750 8,043,875 24,131,626 12,065,813 36,197,440 18,098,720 9,049,360 4,524,680 2,262,340 1,131,170 565,585 1,696,756 848,378 424,189 1,272,568 636,284 318,142 159,071 477,214 238,607

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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