4,587,877

7 × 647 × 1013

Starting at 4,587,877, the Collatz iteration reaches 1 after 105 steps. The first transition is 13763632; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 647 × 1013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,256,576

Proper Divisor Sum 668,699

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #4587853 ← → #4587881

Radix Representation

Decimal	4587877
Binary	10001100000000101100101 (23 bits)
Octal	0o21400545
Hexadecimal	0x460165

Divisor Catalog (8)

1 7 647 1,013 4,529 7,091 655,411 4,587,877

Collatz Trajectory (105 steps to reach 1)

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

4,587,877 13,763,632 6,881,816 3,440,908 1,720,454 860,227 2,580,682 1,290,341 3,871,024 1,935,512 967,756 483,878 241,939 725,818 362,909 1,088,728 544,364 272,182 136,091 408,274 204,137 612,412 306,206 153,103 459,310 229,655 688,966 344,483 1,033,450 516,725 1,550,176 775,088 387,544 193,772 96,886 48,443 145,330 72,665 217,996 108,998 54,499 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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