λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,575,678
2,575,678
2 × 7 × 19 × 23 × 421
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 19 × 23 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,861,440
Proper Divisor Sum 2,285,762
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2575673 ← → #2575679

Radix Representation

Decimal 2575678
Binary 1001110100110100111110 (22 bits)
Octal 0o11646476
Hexadecimal 0x274D3E

Divisor Catalog (32)

1 2 7 14 19 23 38 46 133 161 266 322 421 437 842 874 2,947 3,059 5,894 6,118 7,999 9,683 15,998 19,366 55,993 67,781 111,986 135,562 183,977 367,954 1,287,839 2,575,678

Collatz Trajectory (218 steps to reach 1)

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

2,575,678 1,287,839 3,863,518 1,931,759 5,795,278 2,897,639 8,692,918 4,346,459 13,039,378 6,519,689 19,559,068 9,779,534 4,889,767 14,669,302 7,334,651 22,003,954 11,001,977 33,005,932 16,502,966 8,251,483 24,754,450 12,377,225 37,131,676 18,565,838 9,282,919 27,848,758 13,924,379 41,773,138 20,886,569 62,659,708 31,329,854 15,664,927 46,994,782 23,497,391 70,492,174 35,246,087 105,738,262 52,869,131 158,607,394 79,303,697 237,911,092 118,955,546 59,477,773 178,433,320 89,216,660 44,608,330 22,304,165 66,912,496 33,456,248 16,728,124 8,364,062 4,182,031 12,546,094 6,273,047 18,819,142 9,409,571 28,228,714 14,114,357 42,343,072 21,171,536

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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