7,213,617

3⁴ × 89057

7,213,617 factors as 3^4 × 89057. Its 10 positive divisors give a proper-divisor sum of 3,562,401, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^4 × 89057

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 10,776,018

Proper Divisor Sum 3,562,401

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7213603 ← → #7213621

Radix Representation

Decimal	7213617
Binary	11011100001001000110001 (23 bits)
Octal	0o33411061
Hexadecimal	0x6E1231

Divisor Catalog (10)

1 3 9 27 81 89,057 267,171 801,513 2,404,539 7,213,617

Collatz Trajectory (142 steps to reach 1)

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

7,213,617 21,640,852 10,820,426 5,410,213 16,230,640 8,115,320 4,057,660 2,028,830 1,014,415 3,043,246 1,521,623 4,564,870 2,282,435 6,847,306 3,423,653 10,270,960 5,135,480 2,567,740 1,283,870 641,935 1,925,806 962,903 2,888,710 1,444,355 4,333,066 2,166,533 6,499,600 3,249,800 1,624,900 812,450 406,225 1,218,676 609,338 304,669 914,008 457,004 228,502 114,251 342,754 171,377 514,132 257,066 128,533 385,600 192,800 96,400 48,200 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627

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