λ
Modular Archive

8,436,415

5 × 13 × 107 × 1213
Deficient Odd Composite

The decimal integer 8,436,415 is 100000001011101010111111 in binary (24 bits), 40135277 in octal and 80BABF in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 5 × 13 × 107 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,013,408
Proper Divisor Sum 2,576,993
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8436409 ← → #8436431

Radix Representation

Decimal 8436415
Binary 100000001011101010111111 (24 bits)
Octal 0o40135277
Hexadecimal 0x80BABF

Divisor Catalog (16)

1 5 13 65 107 535 1,213 1,391 6,065 6,955 15,769 78,845 129,791 648,955 1,687,283 8,436,415

Collatz Trajectory (155 steps to reach 1)

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

8,436,415 25,309,246 12,654,623 37,963,870 18,981,935 56,945,806 28,472,903 85,418,710 42,709,355 128,128,066 64,064,033 192,192,100 96,096,050 48,048,025 144,144,076 72,072,038 36,036,019 108,108,058 54,054,029 162,162,088 81,081,044 40,540,522 20,270,261 60,810,784 30,405,392 15,202,696 7,601,348 3,800,674 1,900,337 5,701,012 2,850,506 1,425,253 4,275,760 2,137,880 1,068,940 534,470 267,235 801,706 400,853 1,202,560 601,280 300,640 150,320 75,160 37,580 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487

More profiles

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