789,488

2⁴ × 7² × 19 × 53

789,488 factors as 2^4 × 7^2 × 19 × 53. Its 60 positive divisors give a proper-divisor sum of 1,118,872, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 19 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,908,360

Proper Divisor Sum 1,118,872

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #789473 ← → #789491

Radix Representation

Decimal	789488
Binary	11000000101111110000 (20 bits)
Octal	0o3005760
Hexadecimal	0xC0BF0

Divisor Catalog (60)

1 2 4 7 8 14 16 19 28 38 49 53 56 76 98 106 112 133 152 196 212 266 304 371 392 424 532 742 784 848 931 1,007 1,064 1,484 1,862 2,014 2,128 2,597 2,968 3,724 4,028 5,194 5,936 7,049 7,448 8,056 10,388 14,098 14,896 16,112 20,776 28,196 41,552 49,343 56,392 98,686 112,784 197,372 394,744 789,488

Collatz Trajectory (162 steps to reach 1)

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

789,488 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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