2,879,175

3 × 5² × 13 × 2953

2,879,175 factors as 3 × 5^2 × 13 × 2953. Its 24 positive divisors give a proper-divisor sum of 2,248,969, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 2953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,128,144

Proper Divisor Sum 2,248,969

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2879161 ← → #2879179

Radix Representation

Decimal	2879175
Binary	1010111110111011000111 (22 bits)
Octal	0o12767307
Hexadecimal	0x2BEEC7

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 2,953 8,859 14,765 38,389 44,295 73,825 115,167 191,945 221,475 575,835 959,725 2,879,175

Collatz Trajectory (275 steps to reach 1)

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

2,879,175 8,637,526 4,318,763 12,956,290 6,478,145 19,434,436 9,717,218 4,858,609 14,575,828 7,287,914 3,643,957 10,931,872 5,465,936 2,732,968 1,366,484 683,242 341,621 1,024,864 512,432 256,216 128,108 64,054 32,027 96,082 48,041 144,124 72,062 36,031 108,094 54,047 162,142 81,071 243,214 121,607 364,822 182,411 547,234 273,617 820,852 410,426 205,213 615,640 307,820 153,910 76,955 230,866 115,433 346,300 173,150 86,575 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436

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