λ
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Atlas › Integer Profiles › Node 4,860,135

4,860,135

33 × 5 × 7 × 37 × 139
Abundant Odd Composite

4,860,135 factors as 3^3 × 5 × 7 × 37 × 139. Its 64 positive divisors give a proper-divisor sum of 5,354,265, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 37 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,214,400
Proper Divisor Sum 5,354,265
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4860133 ← → #4860137

Radix Representation

Decimal 4860135
Binary 10010100010100011100111 (23 bits)
Octal 0o22424347
Hexadecimal 0x4A28E7

Divisor Catalog (60 of 64)

1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 139 185 189 259 315 333 417 555 695 777 945 973 999 1,251 1,295 1,665 2,085 2,331 2,919 3,753 3,885 4,865 4,995 5,143 6,255 6,993 8,757 11,655 14,595 15,429 18,765 25,715 26,271 34,965 36,001 43,785 46,287 77,145 108,003 131,355 138,861 180,005 231,435 324,009 540,015

Collatz Trajectory (193 steps to reach 1)

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

4,860,135 14,580,406 7,290,203 21,870,610 10,935,305 32,805,916 16,402,958 8,201,479 24,604,438 12,302,219 36,906,658 18,453,329 55,359,988 27,679,994 13,839,997 41,519,992 20,759,996 10,379,998 5,189,999 15,569,998 7,784,999 23,354,998 11,677,499 35,032,498 17,516,249 52,548,748 26,274,374 13,137,187 39,411,562 19,705,781 59,117,344 29,558,672 14,779,336 7,389,668 3,694,834 1,847,417 5,542,252 2,771,126 1,385,563 4,156,690 2,078,345 6,235,036 3,117,518 1,558,759 4,676,278 2,338,139 7,014,418 3,507,209 10,521,628 5,260,814 2,630,407 7,891,222 3,945,611 11,836,834 5,918,417 17,755,252 8,877,626 4,438,813 13,316,440 6,658,220

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