3,095,136

2⁵ × 3² × 11 × 977

3,095,136 factors as 2^5 × 3^2 × 11 × 977. Its 72 positive divisors give a proper-divisor sum of 6,516,648, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,611,784

Proper Divisor Sum 6,516,648

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3095123 ← → #3095149

Radix Representation

Decimal	3095136
Binary	1011110011101001100000 (22 bits)
Octal	0o13635140
Hexadecimal	0x2F3A60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 977 1,056 1,584 1,954 2,931 3,168 3,908 5,862 7,816 8,793 10,747 11,724 15,632 17,586 21,494 23,448 31,264 32,241 35,172 42,988 46,896 64,482 70,344 85,976 93,792 96,723 128,964

Collatz Trajectory (195 steps to reach 1)

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

3,095,136 1,547,568 773,784 386,892 193,446 96,723 290,170 145,085 435,256 217,628 108,814 54,407 163,222 81,611 244,834 122,417 367,252 183,626 91,813 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636

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