846,480

2⁴ × 3 × 5 × 3527

846,480 has digital root 3. The neighboring primes are 846457 and 846487; its proper-divisor sum differs from the starting integer by 931,872.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 3527

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,624,832

Proper Divisor Sum 1,778,352

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #846457 ← → #846487

Radix Representation

Decimal	846480
Binary	11001110101010010000 (20 bits)
Octal	0o3165220
Hexadecimal	0xCEA90

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3,527 7,054 10,581 14,108 17,635 21,162 28,216 35,270 42,324 52,905 56,432 70,540 84,648 105,810 141,080 169,296 211,620 282,160 423,240 846,480

Collatz Trajectory (131 steps to reach 1)

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

846,480 423,240 211,620 105,810 52,905 158,716 79,358 39,679 119,038 59,519 178,558 89,279 267,838 133,919 401,758 200,879 602,638 301,319 903,958 451,979 1,355,938 677,969 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360 38,180 19,090 9,545 28,636 14,318 7,159 21,478 10,739 32,218

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