λ
Modular Archive

3,617,415

32 × 5 × 80387
Deficient Odd Composite

The decimal integer 3,617,415 is 1101110011001010000111 in binary (22 bits), 15631207 in octal and 373287 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 5 × 80387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,270,264
Proper Divisor Sum 2,652,849
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3617407 ← → #3617441

Radix Representation

Decimal 3617415
Binary 1101110011001010000111 (22 bits)
Octal 0o15631207
Hexadecimal 0x373287

Divisor Catalog (12)

1 3 5 9 15 45 80,387 241,161 401,935 723,483 1,205,805 3,617,415

Collatz Trajectory (141 steps to reach 1)

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

3,617,415 10,852,246 5,426,123 16,278,370 8,139,185 24,417,556 12,208,778 6,104,389 18,313,168 9,156,584 4,578,292 2,289,146 1,144,573 3,433,720 1,716,860 858,430 429,215 1,287,646 643,823 1,931,470 965,735 2,897,206 1,448,603 4,345,810 2,172,905 6,518,716 3,259,358 1,629,679 4,889,038 2,444,519 7,333,558 3,666,779 11,000,338 5,500,169 16,500,508 8,250,254 4,125,127 12,375,382 6,187,691 18,563,074 9,281,537 27,844,612 13,922,306 6,961,153 20,883,460 10,441,730 5,220,865 15,662,596 7,831,298 3,915,649 11,746,948 5,873,474 2,936,737 8,810,212 4,405,106 2,202,553 6,607,660 3,303,830 1,651,915 4,955,746

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