2,201,607

3³ × 73 × 1117

2,201,607 factors as 3^3 × 73 × 1117. Its 16 positive divisors give a proper-divisor sum of 1,107,673, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3^3 × 73 × 1117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,309,280

Proper Divisor Sum 1,107,673

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2201603 ← → #2201623

Radix Representation

Decimal	2201607
Binary	1000011001100000000111 (22 bits)
Octal	0o10314007
Hexadecimal	0x219807

Divisor Catalog (16)

1 3 9 27 73 219 657 1,117 1,971 3,351 10,053 30,159 81,541 244,623 733,869 2,201,607

Collatz Trajectory (73 steps to reach 1)

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

2,201,607 6,604,822 3,302,411 9,907,234 4,953,617 14,860,852 7,430,426 3,715,213 11,145,640 5,572,820 2,786,410 1,393,205 4,179,616 2,089,808 1,044,904 522,452 261,226 130,613 391,840 195,920 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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