4,677,708

2² × 3 × 7 × 233 × 239

Starting at 4,677,708, the Collatz iteration reaches 1 after 131 steps. The first transition is 2338854; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 233 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,579,840

Proper Divisor Sum 7,902,132

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4677691 ← → #4677709

Radix Representation

Decimal	4677708
Binary	10001110110000001001100 (23 bits)
Octal	0o21660114
Hexadecimal	0x47604C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 233 239 466 478 699 717 932 956 1,398 1,434 1,631 1,673 2,796 2,868 3,262 3,346 4,893 5,019 6,524 6,692 9,786 10,038 19,572 20,076 55,687 111,374 167,061 222,748 334,122 389,809 668,244 779,618 1,169,427 1,559,236 2,338,854 4,677,708

Collatz Trajectory (131 steps to reach 1)

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

4,677,708 2,338,854 1,169,427 3,508,282 1,754,141 5,262,424 2,631,212 1,315,606 657,803 1,973,410 986,705 2,960,116 1,480,058 740,029 2,220,088 1,110,044 555,022 277,511 832,534 416,267 1,248,802 624,401 1,873,204 936,602 468,301 1,404,904 702,452 351,226 175,613 526,840 263,420 131,710 65,855 197,566 98,783 296,350 148,175 444,526 222,263 666,790 333,395 1,000,186 500,093 1,500,280 750,140 375,070 187,535 562,606 281,303 843,910 421,955 1,265,866 632,933 1,898,800 949,400 474,700 237,350 118,675 356,026 178,013

← Previous Integer #4,677,707 Browse Full Index Next Integer #4,677,709 →