λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,477,372
35,477,372
22 × 72 × 317 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 317 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,576,504
Proper Divisor Sum 37,099,132
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #35477363 ← → #35477381

Radix Representation

Decimal 35477372
Binary 10000111010101011101111100 (26 bits)
Octal 0o207253574
Hexadecimal 0x21D577C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 317 571 634 1,142 1,268 2,219 2,284 3,997 4,438 7,994 8,876 15,533 15,988 27,979 31,066 55,958 62,132 111,916 181,007 362,014 724,028 1,267,049 2,534,098 5,068,196 8,869,343 17,738,686 35,477,372

Collatz Trajectory (245 steps to reach 1)

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

35,477,372 17,738,686 8,869,343 26,608,030 13,304,015 39,912,046 19,956,023 59,868,070 29,934,035 89,802,106 44,901,053 134,703,160 67,351,580 33,675,790 16,837,895 50,513,686 25,256,843 75,770,530 37,885,265 113,655,796 56,827,898 28,413,949 85,241,848 42,620,924 21,310,462 10,655,231 31,965,694 15,982,847 47,948,542 23,974,271 71,922,814 35,961,407 107,884,222 53,942,111 161,826,334 80,913,167 242,739,502 121,369,751 364,109,254 182,054,627 546,163,882 273,081,941 819,245,824 409,622,912 204,811,456 102,405,728 51,202,864 25,601,432 12,800,716 6,400,358 3,200,179 9,600,538 4,800,269 14,400,808 7,200,404 3,600,202 1,800,101 5,400,304 2,700,152 1,350,076

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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