64,846,600

2³ × 5² × 7² × 13 × 509

64,846,600 factors as 2^3 × 5^2 × 7^2 × 13 × 509. Its 144 positive divisors give a proper-divisor sum of 124,399,100, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 13 × 509

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 189,245,700

Proper Divisor Sum 124,399,100

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #64846589 ← → #64846627

Radix Representation

Decimal	64846600
Binary	11110111010111101100001000 (26 bits)
Octal	0o367275410
Hexadecimal	0x3DD7B08

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 509 520 637 650 700 728 910 980 1,018 1,225 1,274 1,300 1,400 1,820 1,960 2,036 2,275 2,450 2,545 2,548

Collatz Trajectory (140 steps to reach 1)

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

64,846,600 32,423,300 16,211,650 8,105,825 24,317,476 12,158,738 6,079,369 18,238,108 9,119,054 4,559,527 13,678,582 6,839,291 20,517,874 10,258,937 30,776,812 15,388,406 7,694,203 23,082,610 11,541,305 34,623,916 17,311,958 8,655,979 25,967,938 12,983,969 38,951,908 19,475,954 9,737,977 29,213,932 14,606,966 7,303,483 21,910,450 10,955,225 32,865,676 16,432,838 8,216,419 24,649,258 12,324,629 36,973,888 18,486,944 9,243,472 4,621,736 2,310,868 1,155,434 577,717 1,733,152 866,576 433,288 216,644 108,322 54,161 162,484 81,242 40,621 121,864 60,932 30,466 15,233 45,700 22,850 11,425

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