λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,748,833
6,748,833
3 × 7 × 13 × 59 × 419
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 59 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,289,600
Proper Divisor Sum 4,540,767
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6748829 ← → #6748849

Radix Representation

Decimal 6748833
Binary 11001101111101010100001 (23 bits)
Octal 0o31575241
Hexadecimal 0x66FAA1

Divisor Catalog (32)

1 3 7 13 21 39 59 91 177 273 413 419 767 1,239 1,257 2,301 2,933 5,369 5,447 8,799 16,107 16,341 24,721 38,129 74,163 114,387 173,047 321,373 519,141 964,119 2,249,611 6,748,833

Collatz Trajectory (271 steps to reach 1)

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

6,748,833 20,246,500 10,123,250 5,061,625 15,184,876 7,592,438 3,796,219 11,388,658 5,694,329 17,082,988 8,541,494 4,270,747 12,812,242 6,406,121 19,218,364 9,609,182 4,804,591 14,413,774 7,206,887 21,620,662 10,810,331 32,430,994 16,215,497 48,646,492 24,323,246 12,161,623 36,484,870 18,242,435 54,727,306 27,363,653 82,090,960 41,045,480 20,522,740 10,261,370 5,130,685 15,392,056 7,696,028 3,848,014 1,924,007 5,772,022 2,886,011 8,658,034 4,329,017 12,987,052 6,493,526 3,246,763 9,740,290 4,870,145 14,610,436 7,305,218 3,652,609 10,957,828 5,478,914 2,739,457 8,218,372 4,109,186 2,054,593 6,163,780 3,081,890 1,540,945

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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