77,591,590

2 × 5 × 37 × 209707

77,591,590 factors as 2 × 5 × 37 × 209707. Its 16 positive divisors give a proper-divisor sum of 65,848,682, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 209707

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 143,440,272

Proper Divisor Sum 65,848,682

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #77591567 ← → #77591593

Radix Representation

Decimal	77591590
Binary	100100111111111010000100110 (27 bits)
Octal	0o447772046
Hexadecimal	0x49FF426

Divisor Catalog (16)

1 2 5 10 37 74 185 370 209,707 419,414 1,048,535 2,097,070 7,759,159 15,518,318 38,795,795 77,591,590

Collatz Trajectory (202 steps to reach 1)

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

77,591,590 38,795,795 116,387,386 58,193,693 174,581,080 87,290,540 43,645,270 21,822,635 65,467,906 32,733,953 98,201,860 49,100,930 24,550,465 73,651,396 36,825,698 18,412,849 55,238,548 27,619,274 13,809,637 41,428,912 20,714,456 10,357,228 5,178,614 2,589,307 7,767,922 3,883,961 11,651,884 5,825,942 2,912,971 8,738,914 4,369,457 13,108,372 6,554,186 3,277,093 9,831,280 4,915,640 2,457,820 1,228,910 614,455 1,843,366 921,683 2,765,050 1,382,525 4,147,576 2,073,788 1,036,894 518,447 1,555,342 777,671 2,333,014 1,166,507 3,499,522 1,749,761 5,249,284 2,624,642 1,312,321 3,936,964 1,968,482 984,241 2,952,724

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