61,395,360

2⁵ × 3 × 5 × 13 × 9839

61,395,360 factors as 2^5 × 3 × 5 × 13 × 9839. Its 96 positive divisors give a proper-divisor sum of 146,897,760, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 13 × 9839

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 208,293,120

Proper Divisor Sum 146,897,760

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #61395343 ← → #61395361

Radix Representation

Decimal	61395360
Binary	11101010001101000110100000 (26 bits)
Octal	0o352150640
Hexadecimal	0x3A8D1A0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1,040 1,248 1,560 2,080 3,120 6,240 9,839 19,678 29,517 39,356 49,195 59,034 78,712 98,390 118,068 127,907 147,585 157,424

Collatz Trajectory (176 steps to reach 1)

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

61,395,360 30,697,680 15,348,840 7,674,420 3,837,210 1,918,605 5,755,816 2,877,908 1,438,954 719,477 2,158,432 1,079,216 539,608 269,804 134,902 67,451 202,354 101,177 303,532 151,766 75,883 227,650 113,825 341,476 170,738 85,369 256,108 128,054 64,027 192,082 96,041 288,124 144,062 72,031 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906

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