77,802,079

131 × 173 × 3433

77,802,079 factors as 131 × 173 × 3433. Its 8 positive divisors give a proper-divisor sum of 1,070,033, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 131 × 173 × 3433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 78,872,112

Proper Divisor Sum 1,070,033

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #77802073 ← → #77802091

Radix Representation

Decimal	77802079
Binary	100101000110010101001011111 (27 bits)
Octal	0o450625137
Hexadecimal	0x4A32A5F

Divisor Catalog (8)

1 131 173 3,433 22,663 449,723 593,909 77,802,079

Collatz Trajectory (228 steps to reach 1)

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

77,802,079 233,406,238 116,703,119 350,109,358 175,054,679 525,164,038 262,582,019 787,746,058 393,873,029 1,181,619,088 590,809,544 295,404,772 147,702,386 73,851,193 221,553,580 110,776,790 55,388,395 166,165,186 83,082,593 249,247,780 124,623,890 62,311,945 186,935,836 93,467,918 46,733,959 140,201,878 70,100,939 210,302,818 105,151,409 315,454,228 157,727,114 78,863,557 236,590,672 118,295,336 59,147,668 29,573,834 14,786,917 44,360,752 22,180,376 11,090,188 5,545,094 2,772,547 8,317,642 4,158,821 12,476,464 6,238,232 3,119,116 1,559,558 779,779 2,339,338 1,169,669 3,509,008 1,754,504 877,252 438,626 219,313 657,940 328,970 164,485 493,456

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