678,409

678409

678,409 factors as 678409. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 678409

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 678,410

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #678407 ← → #678413

Radix Representation

Decimal	678409
Binary	10100101101000001001 (20 bits)
Octal	0o2455011
Hexadecimal	0xA5A09

Divisor Catalog (2)

1 678,409

Collatz Trajectory (123 steps to reach 1)

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

678,409 2,035,228 1,017,614 508,807 1,526,422 763,211 2,289,634 1,144,817 3,434,452 1,717,226 858,613 2,575,840 1,287,920 643,960 321,980 160,990 80,495 241,486 120,743 362,230 181,115 543,346 271,673 815,020 407,510 203,755 611,266 305,633 916,900 458,450 229,225 687,676 343,838 171,919 515,758 257,879 773,638 386,819 1,160,458 580,229 1,740,688 870,344 435,172 217,586 108,793 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635 154,906

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