λ
Ratio Atlas
Atlas › Integer Profiles › Node 34,945,246
34,945,246
2 × 7 × 31 × 73 × 1103
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 31 × 73 × 1103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,742,528
Proper Divisor Sum 27,797,282
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #34945223 ← → #34945249

Radix Representation

Decimal 34945246
Binary 10000101010011100011011110 (26 bits)
Octal 0o205234336
Hexadecimal 0x21538DE

Divisor Catalog (32)

1 2 7 14 31 62 73 146 217 434 511 1,022 1,103 2,206 2,263 4,526 7,721 15,442 15,841 31,682 34,193 68,386 80,519 161,038 239,351 478,702 563,633 1,127,266 2,496,089 4,992,178 17,472,623 34,945,246

Collatz Trajectory (139 steps to reach 1)

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

34,945,246 17,472,623 52,417,870 26,208,935 78,626,806 39,313,403 117,940,210 58,970,105 176,910,316 88,455,158 44,227,579 132,682,738 66,341,369 199,024,108 99,512,054 49,756,027 149,268,082 74,634,041 223,902,124 111,951,062 55,975,531 167,926,594 83,963,297 251,889,892 125,944,946 62,972,473 188,917,420 94,458,710 47,229,355 141,688,066 70,844,033 212,532,100 106,266,050 53,133,025 159,399,076 79,699,538 39,849,769 119,549,308 59,774,654 29,887,327 89,661,982 44,830,991 134,492,974 67,246,487 201,739,462 100,869,731 302,609,194 151,304,597 453,913,792 226,956,896 113,478,448 56,739,224 28,369,612 14,184,806 7,092,403 21,277,210 10,638,605 31,915,816 15,957,908 7,978,954

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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