λ
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Atlas › Integer Profiles › Node 41,009,828

41,009,828

22 × 19 × 23 × 29 × 809
Deficient Even Composite

41,009,828 factors as 2^2 × 19 × 23 × 29 × 809. Its 48 positive divisors give a proper-divisor sum of 40,638,172, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 23 × 29 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,648,000
Proper Divisor Sum 40,638,172
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #41009827 ← → #41009849

Radix Representation

Decimal 41009828
Binary 10011100011100001010100100 (26 bits)
Octal 0o234341244
Hexadecimal 0x271C2A4

Divisor Catalog (48)

1 2 4 19 23 29 38 46 58 76 92 116 437 551 667 809 874 1,102 1,334 1,618 1,748 2,204 2,668 3,236 12,673 15,371 18,607 23,461 25,346 30,742 37,214 46,922 50,692 61,484 74,428 93,844 353,533 445,759 539,603 707,066 891,518 1,079,206 1,414,132 1,783,036 2,158,412 10,252,457 20,504,914 41,009,828

Collatz Trajectory (191 steps to reach 1)

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

41,009,828 20,504,914 10,252,457 30,757,372 15,378,686 7,689,343 23,068,030 11,534,015 34,602,046 17,301,023 51,903,070 25,951,535 77,854,606 38,927,303 116,781,910 58,390,955 175,172,866 87,586,433 262,759,300 131,379,650 65,689,825 197,069,476 98,534,738 49,267,369 147,802,108 73,901,054 36,950,527 110,851,582 55,425,791 166,277,374 83,138,687 249,416,062 124,708,031 374,124,094 187,062,047 561,186,142 280,593,071 841,779,214 420,889,607 1,262,668,822 631,334,411 1,894,003,234 947,001,617 2,841,004,852 1,420,502,426 710,251,213 2,130,753,640 1,065,376,820 532,688,410 266,344,205 799,032,616 399,516,308 199,758,154 99,879,077 299,637,232 149,818,616 74,909,308 37,454,654 18,727,327 56,181,982

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