1,221,925

5² × 37 × 1321

1,221,925 has digital root 4. The neighboring primes are 1221917 and 1221937; its proper-divisor sum differs from the starting integer by -886,534.

Prime Factor Structure

Factorization String 5^2 × 37 × 1321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,557,316

Proper Divisor Sum 335,391

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1221917 ← → #1221937

Radix Representation

Decimal	1221925
Binary	100101010010100100101 (21 bits)
Octal	0o4522445
Hexadecimal	0x12A525

Divisor Catalog (12)

1 5 25 37 185 925 1,321 6,605 33,025 48,877 244,385 1,221,925

Collatz Trajectory (98 steps to reach 1)

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

1,221,925 3,665,776 1,832,888 916,444 458,222 229,111 687,334 343,667 1,031,002 515,501 1,546,504 773,252 386,626 193,313 579,940 289,970 144,985 434,956 217,478 108,739 326,218 163,109 489,328 244,664 122,332 61,166 30,583 91,750 45,875 137,626 68,813 206,440 103,220 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295

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