λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,830,004

30,830,004

22 × 33 × 285463
Abundant Even Composite

30,830,004 factors as 2^2 × 3^3 × 285463. Its 24 positive divisors give a proper-divisor sum of 49,099,916, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 285463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 79,929,920
Proper Divisor Sum 49,099,916
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #30829999 ← → #30830021

Radix Representation

Decimal 30830004
Binary 1110101100110110110110100 (25 bits)
Octal 0o165466664
Hexadecimal 0x1D66DB4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 285,463 570,926 856,389 1,141,852 1,712,778 2,569,167 3,425,556 5,138,334 7,707,501 10,276,668 15,415,002 30,830,004

Collatz Trajectory (126 steps to reach 1)

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

30,830,004 15,415,002 7,707,501 23,122,504 11,561,252 5,780,626 2,890,313 8,670,940 4,335,470 2,167,735 6,503,206 3,251,603 9,754,810 4,877,405 14,632,216 7,316,108 3,658,054 1,829,027 5,487,082 2,743,541 8,230,624 4,115,312 2,057,656 1,028,828 514,414 257,207 771,622 385,811 1,157,434 578,717 1,736,152 868,076 434,038 217,019 651,058 325,529 976,588 488,294 244,147 732,442 366,221 1,098,664 549,332 274,666 137,333 412,000 206,000 103,000 51,500 25,750 12,875 38,626 19,313 57,940 28,970 14,485 43,456 21,728 10,864 5,432

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #30,830,003 Browse Full Index Next Integer #30,830,005 →