λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,463,512
49,463,512
23 × 7 × 337 × 2621
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 337 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,348,320
Proper Divisor Sum 56,884,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49463509 ← → #49463521

Radix Representation

Decimal 49463512
Binary 10111100101100000011011000 (26 bits)
Octal 0o274540330
Hexadecimal 0x2F2C0D8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 337 674 1,348 2,359 2,621 2,696 4,718 5,242 9,436 10,484 18,347 18,872 20,968 36,694 73,388 146,776 883,277 1,766,554 3,533,108 6,182,939 7,066,216 12,365,878 24,731,756 49,463,512

Collatz Trajectory (212 steps to reach 1)

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

49,463,512 24,731,756 12,365,878 6,182,939 18,548,818 9,274,409 27,823,228 13,911,614 6,955,807 20,867,422 10,433,711 31,301,134 15,650,567 46,951,702 23,475,851 70,427,554 35,213,777 105,641,332 52,820,666 26,410,333 79,231,000 39,615,500 19,807,750 9,903,875 29,711,626 14,855,813 44,567,440 22,283,720 11,141,860 5,570,930 2,785,465 8,356,396 4,178,198 2,089,099 6,267,298 3,133,649 9,400,948 4,700,474 2,350,237 7,050,712 3,525,356 1,762,678 881,339 2,644,018 1,322,009 3,966,028 1,983,014 991,507 2,974,522 1,487,261 4,461,784 2,230,892 1,115,446 557,723 1,673,170 836,585 2,509,756 1,254,878 627,439 1,882,318

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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