λ
Harmonic Matrix

4,633,010

2 × 5 × 17 × 27253
Deficient Even Composite

4,633,010 has digital root 8. The neighboring primes are 4633003 and 4633019; its proper-divisor sum differs from the starting integer by -435,724.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 27253
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,830,296
Proper Divisor Sum 4,197,286
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4633003 ← → #4633019

Radix Representation

Decimal 4633010
Binary 10001101011000110110010 (23 bits)
Octal 0o21530662
Hexadecimal 0x46B1B2

Divisor Catalog (16)

1 2 5 10 17 34 85 170 27,253 54,506 136,265 272,530 463,301 926,602 2,316,505 4,633,010

Collatz Trajectory (255 steps to reach 1)

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

4,633,010 2,316,505 6,949,516 3,474,758 1,737,379 5,212,138 2,606,069 7,818,208 3,909,104 1,954,552 977,276 488,638 244,319 732,958 366,479 1,099,438 549,719 1,649,158 824,579 2,473,738 1,236,869 3,710,608 1,855,304 927,652 463,826 231,913 695,740 347,870 173,935 521,806 260,903 782,710 391,355 1,174,066 587,033 1,761,100 880,550 440,275 1,320,826 660,413 1,981,240 990,620 495,310 247,655 742,966 371,483 1,114,450 557,225 1,671,676 835,838 417,919 1,253,758 626,879 1,880,638 940,319 2,820,958 1,410,479 4,231,438 2,115,719 6,347,158

More profiles

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