Integer 7,802,001 Profile | Ratio Atlas

7,802,001

3⁵ × 97 × 331

Prime Factor Structure

Factorization String 3^5 × 97 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,843,104

Proper Divisor Sum 4,041,103

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7801999 ← → #7802009

Radix Representation

Decimal	7802001
Binary	11101110000110010010001 (23 bits)
Octal	0o35606221
Hexadecimal	0x770C91

Divisor Catalog (24)

Collatz Trajectory (230 steps to reach 1)

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

7,802,001 23,406,004 11,703,002 5,851,501 17,554,504 8,777,252 4,388,626 2,194,313 6,582,940 3,291,470 1,645,735 4,937,206 2,468,603 7,405,810 3,702,905 11,108,716 5,554,358 2,777,179 8,331,538 4,165,769 12,497,308 6,248,654 3,124,327 9,372,982 4,686,491 14,059,474 7,029,737 21,089,212 10,544,606 5,272,303 15,816,910 7,908,455 23,725,366 11,862,683 35,588,050 17,794,025 53,382,076 26,691,038 13,345,519 40,036,558 20,018,279 60,054,838 30,027,419 90,082,258 45,041,129 135,123,388 67,561,694 33,780,847 101,342,542 50,671,271 152,013,814 76,006,907 228,020,722 114,010,361 342,031,084 171,015,542 85,507,771 256,523,314 128,261,657 384,784,972

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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