3,728,265

3 × 5 × 199 × 1249

3,728,265 has digital root 6. The neighboring primes are 3728251 and 3728267; its proper-divisor sum differs from the starting integer by -1,456,530.

Prime Factor Structure

Factorization String 3 × 5 × 199 × 1249

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,000,000

Proper Divisor Sum 2,271,735

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3728251 ← → #3728267

Radix Representation

Decimal	3728265
Binary	1110001110001110001001 (22 bits)
Octal	0o16161611
Hexadecimal	0x38E389

Divisor Catalog (16)

1 3 5 15 199 597 995 1,249 2,985 3,747 6,245 18,735 248,551 745,653 1,242,755 3,728,265

Collatz Trajectory (172 steps to reach 1)

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

3,728,265 11,184,796 5,592,398 2,796,199 8,388,598 4,194,299 12,582,898 6,291,449 18,874,348 9,437,174 4,718,587 14,155,762 7,077,881 21,233,644 10,616,822 5,308,411 15,925,234 7,962,617 23,887,852 11,943,926 5,971,963 17,915,890 8,957,945 26,873,836 13,436,918 6,718,459 20,155,378 10,077,689 30,233,068 15,116,534 7,558,267 22,674,802 11,337,401 34,012,204 17,006,102 8,503,051 25,509,154 12,754,577 38,263,732 19,131,866 9,565,933 28,697,800 14,348,900 7,174,450 3,587,225 10,761,676 5,380,838 2,690,419 8,071,258 4,035,629 12,106,888 6,053,444 3,026,722 1,513,361 4,540,084 2,270,042 1,135,021 3,405,064 1,702,532 851,266

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