λ
Ratio Atlas

40,596,347

112 × 335507
Deficient Odd Composite

40,596,347 factors as 11^2 × 335507. Its 6 positive divisors give a proper-divisor sum of 4,026,217, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 11^2 × 335507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 44,622,564
Proper Divisor Sum 4,026,217
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #40596337 ← → #40596349

Radix Representation

Decimal 40596347
Binary 10011010110111001101111011 (26 bits)
Octal 0o232671573
Hexadecimal 0x26B737B

Divisor Catalog (6)

Collatz Trajectory (253 steps to reach 1)

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

40,596,347 121,789,042 60,894,521 182,683,564 91,341,782 45,670,891 137,012,674 68,506,337 205,519,012 102,759,506 51,379,753 154,139,260 77,069,630 38,534,815 115,604,446 57,802,223 173,406,670 86,703,335 260,110,006 130,055,003 390,165,010 195,082,505 585,247,516 292,623,758 146,311,879 438,935,638 219,467,819 658,403,458 329,201,729 987,605,188 493,802,594 246,901,297 740,703,892 370,351,946 185,175,973 555,527,920 277,763,960 138,881,980 69,440,990 34,720,495 104,161,486 52,080,743 156,242,230 78,121,115 234,363,346 117,181,673 351,545,020 175,772,510 87,886,255 263,658,766 131,829,383 395,488,150 197,744,075 593,232,226 296,616,113 889,848,340 444,924,170 222,462,085 667,386,256 333,693,128

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