λ
Harmonic Matrix

4,870,000

24 × 54 × 487
Abundant Even Composite

4,870,000 has digital root 1. The neighboring primes are 4869989 and 4870001; its proper-divisor sum differs from the starting integer by 2,074,968.

Prime Factor Structure

Factorization String 2^4 × 5^4 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 11,814,968
Proper Divisor Sum 6,944,968
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4869989 ← → #4870001

Radix Representation

Decimal 4870000
Binary 10010100100111101110000 (23 bits)
Octal 0o22447560
Hexadecimal 0x4A4F70

Divisor Catalog (50)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 487 500 625 974 1,000 1,250 1,948 2,000 2,435 2,500 3,896 4,870 5,000 7,792 9,740 10,000 12,175 19,480 24,350 38,960 48,700 60,875 97,400 121,750 194,800 243,500 304,375 487,000 608,750 974,000 1,217,500 2,435,000 4,870,000

Collatz Trajectory (118 steps to reach 1)

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

4,870,000 2,435,000 1,217,500 608,750 304,375 913,126 456,563 1,369,690 684,845 2,054,536 1,027,268 513,634 256,817 770,452 385,226 192,613 577,840 288,920 144,460 72,230 36,115 108,346 54,173 162,520 81,260 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348

More profiles

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