77,763,534

2 × 3 × 59 × 107 × 2053

77,763,534 factors as 2 × 3 × 59 × 107 × 2053. Its 32 positive divisors give a proper-divisor sum of 81,955,506, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 107 × 2053

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 159,719,040

Proper Divisor Sum 81,955,506

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #77763509 ← → #77763541

Radix Representation

Decimal	77763534
Binary	100101000101001001111001110 (27 bits)
Octal	0o450511716
Hexadecimal	0x4A293CE

Divisor Catalog (32)

Collatz Trajectory (241 steps to reach 1)

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

77,763,534 38,881,767 116,645,302 58,322,651 174,967,954 87,483,977 262,451,932 131,225,966 65,612,983 196,838,950 98,419,475 295,258,426 147,629,213 442,887,640 221,443,820 110,721,910 55,360,955 166,082,866 83,041,433 249,124,300 124,562,150 62,281,075 186,843,226 93,421,613 280,264,840 140,132,420 70,066,210 35,033,105 105,099,316 52,549,658 26,274,829 78,824,488 39,412,244 19,706,122 9,853,061 29,559,184 14,779,592 7,389,796 3,694,898 1,847,449 5,542,348 2,771,174 1,385,587 4,156,762 2,078,381 6,235,144 3,117,572 1,558,786 779,393 2,338,180 1,169,090 584,545 1,753,636 876,818 438,409 1,315,228 657,614 328,807 986,422 493,211

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