3,077,960

2³ × 5 × 76949

3,077,960 factors as 2^3 × 5 × 76949. Its 16 positive divisors give a proper-divisor sum of 3,847,540, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 76949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,925,500

Proper Divisor Sum 3,847,540

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3077953 ← → #3078001

Radix Representation

Decimal	3077960
Binary	1011101111011101001000 (22 bits)
Octal	0o13573510
Hexadecimal	0x2EF748

Divisor Catalog (16)

1 2 4 5 8 10 20 40 76,949 153,898 307,796 384,745 615,592 769,490 1,538,980 3,077,960

Collatz Trajectory (102 steps to reach 1)

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

3,077,960 1,538,980 769,490 384,745 1,154,236 577,118 288,559 865,678 432,839 1,298,518 649,259 1,947,778 973,889 2,921,668 1,460,834 730,417 2,191,252 1,095,626 547,813 1,643,440 821,720 410,860 205,430 102,715 308,146 154,073 462,220 231,110 115,555 346,666 173,333 520,000 260,000 130,000 65,000 32,500 16,250 8,125 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256

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