1,415,167

13 × 23 × 4733

For 1,415,167, the 8 positive divisors have a total of 1,590,624. Removing 1,415,167 leaves 175,457, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 23 × 4733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,590,624

Proper Divisor Sum 175,457

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1415143 ← → #1415179

Radix Representation

Decimal	1415167
Binary	101011001011111111111 (21 bits)
Octal	0o5313777
Hexadecimal	0x1597FF

Divisor Catalog (8)

1 13 23 299 4,733 61,529 108,859 1,415,167

Collatz Trajectory (199 steps to reach 1)

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

1,415,167 4,245,502 2,122,751 6,368,254 3,184,127 9,552,382 4,776,191 14,328,574 7,164,287 21,492,862 10,746,431 32,239,294 16,119,647 48,358,942 24,179,471 72,538,414 36,269,207 108,807,622 54,403,811 163,211,434 81,605,717 244,817,152 122,408,576 61,204,288 30,602,144 15,301,072 7,650,536 3,825,268 1,912,634 956,317 2,868,952 1,434,476 717,238 358,619 1,075,858 537,929 1,613,788 806,894 403,447 1,210,342 605,171 1,815,514 907,757 2,723,272 1,361,636 680,818 340,409 1,021,228 510,614 255,307 765,922 382,961 1,148,884 574,442 287,221 861,664 430,832 215,416 107,708 53,854

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