λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,401,550
7,401,550
2 × 52 × 13 × 59 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 59 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,155,280
Proper Divisor Sum 7,753,730
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7401539 ← → #7401553

Radix Representation

Decimal 7401550
Binary 11100001111000001001110 (23 bits)
Octal 0o34170116
Hexadecimal 0x70F04E

Divisor Catalog (48)

1 2 5 10 13 25 26 50 59 65 118 130 193 295 325 386 590 650 767 965 1,475 1,534 1,930 2,509 2,950 3,835 4,825 5,018 7,670 9,650 11,387 12,545 19,175 22,774 25,090 38,350 56,935 62,725 113,870 125,450 148,031 284,675 296,062 569,350 740,155 1,480,310 3,700,775 7,401,550

Collatz Trajectory (191 steps to reach 1)

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

7,401,550 3,700,775 11,102,326 5,551,163 16,653,490 8,326,745 24,980,236 12,490,118 6,245,059 18,735,178 9,367,589 28,102,768 14,051,384 7,025,692 3,512,846 1,756,423 5,269,270 2,634,635 7,903,906 3,951,953 11,855,860 5,927,930 2,963,965 8,891,896 4,445,948 2,222,974 1,111,487 3,334,462 1,667,231 5,001,694 2,500,847 7,502,542 3,751,271 11,253,814 5,626,907 16,880,722 8,440,361 25,321,084 12,660,542 6,330,271 18,990,814 9,495,407 28,486,222 14,243,111 42,729,334 21,364,667 64,094,002 32,047,001 96,141,004 48,070,502 24,035,251 72,105,754 36,052,877 108,158,632 54,079,316 27,039,658 13,519,829 40,559,488 20,279,744 10,139,872

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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