60,822,825

3 × 5² × 7 × 115853

60,822,825 factors as 3 × 5^2 × 7 × 115853. Its 24 positive divisors give a proper-divisor sum of 54,104,343, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 115853

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 114,927,168

Proper Divisor Sum 54,104,343

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #60822823 ← → #60822847

Radix Representation

Decimal	60822825
Binary	11101000000001010100101001 (26 bits)
Octal	0o350012451
Hexadecimal	0x3A01529

Divisor Catalog (24)

Collatz Trajectory (158 steps to reach 1)

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

60,822,825 182,468,476 91,234,238 45,617,119 136,851,358 68,425,679 205,277,038 102,638,519 307,915,558 153,957,779 461,873,338 230,936,669 692,810,008 346,405,004 173,202,502 86,601,251 259,803,754 129,901,877 389,705,632 194,852,816 97,426,408 48,713,204 24,356,602 12,178,301 36,534,904 18,267,452 9,133,726 4,566,863 13,700,590 6,850,295 20,550,886 10,275,443 30,826,330 15,413,165 46,239,496 23,119,748 11,559,874 5,779,937 17,339,812 8,669,906 4,334,953 13,004,860 6,502,430 3,251,215 9,753,646 4,876,823 14,630,470 7,315,235 21,945,706 10,972,853 32,918,560 16,459,280 8,229,640 4,114,820 2,057,410 1,028,705 3,086,116 1,543,058 771,529 2,314,588

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