655,504

2⁴ × 53 × 773

655,504 has digital root 7. The neighboring primes are 655489 and 655507; its proper-divisor sum differs from the starting integer by -15,332.

Prime Factor Structure

Factorization String 2^4 × 53 × 773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,295,676

Proper Divisor Sum 640,172

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #655489 ← → #655507

Radix Representation

Decimal	655504
Binary	10100000000010010000 (20 bits)
Octal	0o2400220
Hexadecimal	0xA0090

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 773 848 1,546 3,092 6,184 12,368 40,969 81,938 163,876 327,752 655,504

Collatz Trajectory (185 steps to reach 1)

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

655,504 327,752 163,876 81,938 40,969 122,908 61,454 30,727 92,182 46,091 138,274 69,137 207,412 103,706 51,853 155,560 77,780 38,890 19,445 58,336 29,168 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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