λ
Harmonic Matrix

490,172

22 × 31 × 59 × 67
Deficient Even Composite

490,172 has digital root 5. The neighboring primes are 490169 and 490183; its proper-divisor sum differs from the starting integer by -66,424.

Prime Factor Structure

Factorization String 2^2 × 31 × 59 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 913,920
Proper Divisor Sum 423,748
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #490169 ← → #490183

Radix Representation

Decimal 490172
Binary 1110111101010111100 (19 bits)
Octal 0o1675274
Hexadecimal 0x77ABC

Divisor Catalog (24)

1 2 4 31 59 62 67 118 124 134 236 268 1,829 2,077 3,658 3,953 4,154 7,316 7,906 8,308 15,812 122,543 245,086 490,172

Collatz Trajectory (76 steps to reach 1)

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

490,172 245,086 122,543 367,630 183,815 551,446 275,723 827,170 413,585 1,240,756 620,378 310,189 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88

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