778,215

3 × 5 × 29 × 1789

778,215 factors as 3 × 5 × 29 × 1789. Its 16 positive divisors give a proper-divisor sum of 510,585, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,288,800

Proper Divisor Sum 510,585

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #778213 ← → #778223

Radix Representation

Decimal	778215
Binary	10111101111111100111 (20 bits)
Octal	0o2757747
Hexadecimal	0xBDFE7

Divisor Catalog (16)

1 3 5 15 29 87 145 435 1,789 5,367 8,945 26,835 51,881 155,643 259,405 778,215

Collatz Trajectory (268 steps to reach 1)

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

778,215 2,334,646 1,167,323 3,501,970 1,750,985 5,252,956 2,626,478 1,313,239 3,939,718 1,969,859 5,909,578 2,954,789 8,864,368 4,432,184 2,216,092 1,108,046 554,023 1,662,070 831,035 2,493,106 1,246,553 3,739,660 1,869,830 934,915 2,804,746 1,402,373 4,207,120 2,103,560 1,051,780 525,890 262,945 788,836 394,418 197,209 591,628 295,814 147,907 443,722 221,861 665,584 332,792 166,396 83,198 41,599 124,798 62,399 187,198 93,599 280,798 140,399 421,198 210,599 631,798 315,899 947,698 473,849 1,421,548 710,774 355,387 1,066,162

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