λ
Harmonic Matrix

4,192,421

17 × 246613
Deficient Odd Composite

4,192,421 has digital root 5. The neighboring primes are 4192411 and 4192427; its proper-divisor sum differs from the starting integer by -3,945,790.

Prime Factor Structure

Factorization String 17 × 246613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,439,052
Proper Divisor Sum 246,631
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4192411 ← → #4192427

Radix Representation

Decimal 4192421
Binary 1111111111100010100101 (22 bits)
Octal 0o17774245
Hexadecimal 0x3FF8A5

Divisor Catalog (4)

1 17 246,613 4,192,421

Collatz Trajectory (273 steps to reach 1)

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

4,192,421 12,577,264 6,288,632 3,144,316 1,572,158 786,079 2,358,238 1,179,119 3,537,358 1,768,679 5,306,038 2,653,019 7,959,058 3,979,529 11,938,588 5,969,294 2,984,647 8,953,942 4,476,971 13,430,914 6,715,457 20,146,372 10,073,186 5,036,593 15,109,780 7,554,890 3,777,445 11,332,336 5,666,168 2,833,084 1,416,542 708,271 2,124,814 1,062,407 3,187,222 1,593,611 4,780,834 2,390,417 7,171,252 3,585,626 1,792,813 5,378,440 2,689,220 1,344,610 672,305 2,016,916 1,008,458 504,229 1,512,688 756,344 378,172 189,086 94,543 283,630 141,815 425,446 212,723 638,170 319,085 957,256

More profiles

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