λ
Ratio Atlas
Atlas › Integer Profiles › Node 53,333,876

53,333,876

22 × 59 × 67 × 3373
Deficient Even Composite

53,333,876 factors as 2^2 × 59 × 67 × 3373. Its 24 positive divisors give a proper-divisor sum of 43,027,564, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 67 × 3373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,361,440
Proper Divisor Sum 43,027,564
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #53333867 ← → #53333921

Radix Representation

Decimal 53333876
Binary 11001011011100111101110100 (26 bits)
Octal 0o313347564
Hexadecimal 0x32DCF74

Divisor Catalog (24)

1 2 4 59 67 118 134 236 268 3,373 3,953 6,746 7,906 13,492 15,812 199,007 225,991 398,014 451,982 796,028 903,964 13,333,469 26,666,938 53,333,876

Collatz Trajectory (142 steps to reach 1)

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

53,333,876 26,666,938 13,333,469 40,000,408 20,000,204 10,000,102 5,000,051 15,000,154 7,500,077 22,500,232 11,250,116 5,625,058 2,812,529 8,437,588 4,218,794 2,109,397 6,328,192 3,164,096 1,582,048 791,024 395,512 197,756 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788 70,394 35,197 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #53,333,875 Browse Full Index Next Integer #53,333,877 →