λ
Ratio Atlas

40,124,809

40124809
Deficient Odd Prime

40,124,809 factors as 40124809. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 40124809
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 40,124,810
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #40124803 ← → #40124837

Radix Representation

Decimal 40124809
Binary 10011001000100000110001001 (26 bits)
Octal 0o231040611
Hexadecimal 0x2644189

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

40,124,809 120,374,428 60,187,214 30,093,607 90,280,822 45,140,411 135,421,234 67,710,617 203,131,852 101,565,926 50,782,963 152,348,890 76,174,445 228,523,336 114,261,668 57,130,834 28,565,417 85,696,252 42,848,126 21,424,063 64,272,190 32,136,095 96,408,286 48,204,143 144,612,430 72,306,215 216,918,646 108,459,323 325,377,970 162,688,985 488,066,956 244,033,478 122,016,739 366,050,218 183,025,109 549,075,328 274,537,664 137,268,832 68,634,416 34,317,208 17,158,604 8,579,302 4,289,651 12,868,954 6,434,477 19,303,432 9,651,716 4,825,858 2,412,929 7,238,788 3,619,394 1,809,697 5,429,092 2,714,546 1,357,273 4,071,820 2,035,910 1,017,955 3,053,866 1,526,933

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