77,288,994

2 × 3² × 4293833

77,288,994 factors as 2 × 3^2 × 4293833. Its 12 positive divisors give a proper-divisor sum of 90,170,532, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 4293833

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 167,459,526

Proper Divisor Sum 90,170,532

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #77288971 ← → #77289001

Radix Representation

Decimal	77288994
Binary	100100110110101011000100010 (27 bits)
Octal	0o446653042
Hexadecimal	0x49B5622

Divisor Catalog (12)

1 2 3 6 9 18 4,293,833 8,587,666 12,881,499 25,762,998 38,644,497 77,288,994

Collatz Trajectory (210 steps to reach 1)

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

77,288,994 38,644,497 115,933,492 57,966,746 28,983,373 86,950,120 43,475,060 21,737,530 10,868,765 32,606,296 16,303,148 8,151,574 4,075,787 12,227,362 6,113,681 18,341,044 9,170,522 4,585,261 13,755,784 6,877,892 3,438,946 1,719,473 5,158,420 2,579,210 1,289,605 3,868,816 1,934,408 967,204 483,602 241,801 725,404 362,702 181,351 544,054 272,027 816,082 408,041 1,224,124 612,062 306,031 918,094 459,047 1,377,142 688,571 2,065,714 1,032,857 3,098,572 1,549,286 774,643 2,323,930 1,161,965 3,485,896 1,742,948 871,474 435,737 1,307,212 653,606 326,803 980,410 490,205

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