3,874,800

2⁴ × 3 × 5² × 3229

Starting at 3,874,800, the Collatz iteration reaches 1 after 172 steps. The first transition is 1937400; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 3229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 12,416,120

Proper Divisor Sum 8,541,320

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3874799 ← → #3874807

Radix Representation

Decimal	3874800
Binary	1110110001111111110000 (22 bits)
Octal	0o16617760
Hexadecimal	0x3B1FF0

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 3,229 6,458 9,687 12,916 16,145 19,374 25,832 32,290 38,748 48,435 51,664 64,580 77,496 80,725 96,870 129,160 154,992 161,450 193,740 242,175 258,320 322,900 387,480 484,350 645,800 774,960 968,700 1,291,600 1,937,400 3,874,800

Collatz Trajectory (172 steps to reach 1)

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

3,874,800 1,937,400 968,700 484,350 242,175 726,526 363,263 1,089,790 544,895 1,634,686 817,343 2,452,030 1,226,015 3,678,046 1,839,023 5,517,070 2,758,535 8,275,606 4,137,803 12,413,410 6,206,705 18,620,116 9,310,058 4,655,029 13,965,088 6,982,544 3,491,272 1,745,636 872,818 436,409 1,309,228 654,614 327,307 981,922 490,961 1,472,884 736,442 368,221 1,104,664 552,332 276,166 138,083 414,250 207,125 621,376 310,688 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097

← Previous Integer #3,874,799 Browse Full Index Next Integer #3,874,801 →