λ
Math Directory

5,348,002

2 × 11 × 243091
Deficient Even Composite

5,348,002 factors as 2 × 11 × 243091. Its 8 positive divisors give a proper-divisor sum of 3,403,310, so this integer is deficient. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2 × 11 × 243091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,751,312
Proper Divisor Sum 3,403,310
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5347997 ← → #5348009

Radix Representation

Decimal 5348002
Binary 10100011001101010100010 (23 bits)
Octal 0o24315242
Hexadecimal 0x519AA2

Divisor Catalog (8)

1 2 11 22 243,091 486,182 2,674,001 5,348,002

Collatz Trajectory (232 steps to reach 1)

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

5,348,002 2,674,001 8,022,004 4,011,002 2,005,501 6,016,504 3,008,252 1,504,126 752,063 2,256,190 1,128,095 3,384,286 1,692,143 5,076,430 2,538,215 7,614,646 3,807,323 11,421,970 5,710,985 17,132,956 8,566,478 4,283,239 12,849,718 6,424,859 19,274,578 9,637,289 28,911,868 14,455,934 7,227,967 21,683,902 10,841,951 32,525,854 16,262,927 48,788,782 24,394,391 73,183,174 36,591,587 109,774,762 54,887,381 164,662,144 82,331,072 41,165,536 20,582,768 10,291,384 5,145,692 2,572,846 1,286,423 3,859,270 1,929,635 5,788,906 2,894,453 8,683,360 4,341,680 2,170,840 1,085,420 542,710 271,355 814,066 407,033 1,221,100

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