346,376

2³ × 29 × 1493

For 346,376, the 16 positive divisors have a total of 672,300. Removing 346,376 leaves 325,924, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 29 × 1493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 672,300

Proper Divisor Sum 325,924

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #346373 ← → #346391

Radix Representation

Decimal	346376
Binary	1010100100100001000 (19 bits)
Octal	0o1244410
Hexadecimal	0x54908

Divisor Catalog (16)

1 2 4 8 29 58 116 232 1,493 2,986 5,972 11,944 43,297 86,594 173,188 346,376

Collatz Trajectory (73 steps to reach 1)

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

346,376 173,188 86,594 43,297 129,892 64,946 32,473 97,420 48,710 24,355 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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