2⁴ × 5² × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,291,584

Proper Divisor Sum 891,184

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #400391 ← → #400409

Radix Representation

Decimal	400400
Binary	1100001110000010000 (19 bits)
Octal	0o1416020
Hexadecimal	0x61C10

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 50 52 55 56 65 70 77 80 88 91 100 104 110 112 130 140 143 154 175 176 182 200 208 220 260 275 280 286 308 325 350 364 385 400 440 455 520 550 560 572 616

Collatz Trajectory (91 steps to reach 1)

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

400,400 200,200 100,100 50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #400,399 Browse Full Index Next Integer #400,401 →