λ
Integer Codex

3,659,416

23 × 59 × 7753
Deficient Even Composite

For 3,659,416, the 16 positive divisors have a total of 6,978,600. Removing 3,659,416 leaves 3,319,184, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 59 × 7753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,978,600
Proper Divisor Sum 3,319,184
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3659401 ← → #3659441

Radix Representation

Decimal 3659416
Binary 1101111101011010011000 (22 bits)
Octal 0o15753230
Hexadecimal 0x37D698

Divisor Catalog (16)

1 2 4 8 59 118 236 472 7,753 15,506 31,012 62,024 457,427 914,854 1,829,708 3,659,416

Collatz Trajectory (159 steps to reach 1)

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

3,659,416 1,829,708 914,854 457,427 1,372,282 686,141 2,058,424 1,029,212 514,606 257,303 771,910 385,955 1,157,866 578,933 1,736,800 868,400 434,200 217,100 108,550 54,275 162,826 81,413 244,240 122,120 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646

More profiles

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