3,664,004

2² × 563 × 1627

3,664,004 factors as 2^2 × 563 × 1627. Its 12 positive divisors give a proper-divisor sum of 2,763,340, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^2 × 563 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,427,344

Proper Divisor Sum 2,763,340

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3663971 ← → #3664013

Radix Representation

Decimal	3664004
Binary	1101111110100010000100 (22 bits)
Octal	0o15764204
Hexadecimal	0x37E884

Divisor Catalog (12)

1 2 4 563 1,126 1,627 2,252 3,254 6,508 916,001 1,832,002 3,664,004

Collatz Trajectory (221 steps to reach 1)

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

3,664,004 1,832,002 916,001 2,748,004 1,374,002 687,001 2,061,004 1,030,502 515,251 1,545,754 772,877 2,318,632 1,159,316 579,658 289,829 869,488 434,744 217,372 108,686 54,343 163,030 81,515 244,546 122,273 366,820 183,410 91,705 275,116 137,558 68,779 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246

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