780,848

2⁴ × 37 × 1319

780,848 has digital root 8. The neighboring primes are 780841 and 780851; its proper-divisor sum differs from the starting integer by -6,736.

Prime Factor Structure

Factorization String 2^4 × 37 × 1319

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,554,960

Proper Divisor Sum 774,112

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #780841 ← → #780851

Radix Representation

Decimal	780848
Binary	10111110101000110000 (20 bits)
Octal	0o2765060
Hexadecimal	0xBEA30

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 1,319 2,638 5,276 10,552 21,104 48,803 97,606 195,212 390,424 780,848

Collatz Trajectory (131 steps to reach 1)

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

780,848 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726

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