λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,106,953
76,106,953
132 × 31 × 73 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 13^2 × 31 × 73 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 86,668,800
Proper Divisor Sum 10,561,847
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #76106929 ← → #76106983

Radix Representation

Decimal 76106953
Binary 100100010010100110011001001 (27 bits)
Octal 0o442246311
Hexadecimal 0x4894CC9

Divisor Catalog (24)

1 13 31 73 169 199 403 949 2,263 2,587 5,239 6,169 12,337 14,527 29,419 33,631 80,197 188,851 382,447 450,337 1,042,561 2,455,063 5,854,381 76,106,953

Collatz Trajectory (179 steps to reach 1)

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

76,106,953 228,320,860 114,160,430 57,080,215 171,240,646 85,620,323 256,860,970 128,430,485 385,291,456 192,645,728 96,322,864 48,161,432 24,080,716 12,040,358 6,020,179 18,060,538 9,030,269 27,090,808 13,545,404 6,772,702 3,386,351 10,159,054 5,079,527 15,238,582 7,619,291 22,857,874 11,428,937 34,286,812 17,143,406 8,571,703 25,715,110 12,857,555 38,572,666 19,286,333 57,859,000 28,929,500 14,464,750 7,232,375 21,697,126 10,848,563 32,545,690 16,272,845 48,818,536 24,409,268 12,204,634 6,102,317 18,306,952 9,153,476 4,576,738 2,288,369 6,865,108 3,432,554 1,716,277 5,148,832 2,574,416 1,287,208 643,604 321,802 160,901 482,704

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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