3,072,410

2 × 5 × 11 × 17 × 31 × 53

Starting at 3,072,410, the Collatz iteration reaches 1 after 102 steps. The first transition is 1536205; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 17 × 31 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 6,718,464

Proper Divisor Sum 3,646,054

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3072403 ← → #3072413

Radix Representation

Decimal	3072410
Binary	1011101110000110011010 (22 bits)
Octal	0o13560632
Hexadecimal	0x2EE19A

Divisor Catalog (60 of 64)

1 2 5 10 11 17 22 31 34 53 55 62 85 106 110 155 170 187 265 310 341 374 527 530 583 682 901 935 1,054 1,166 1,643 1,705 1,802 1,870 2,635 2,915 3,286 3,410 4,505 5,270 5,797 5,830 8,215 9,010 9,911 11,594 16,430 18,073 19,822 27,931 28,985 36,146 49,555 55,862 57,970 90,365 99,110 139,655 180,730 279,310

Collatz Trajectory (102 steps to reach 1)

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

3,072,410 1,536,205 4,608,616 2,304,308 1,152,154 576,077 1,728,232 864,116 432,058 216,029 648,088 324,044 162,022 81,011 243,034 121,517 364,552 182,276 91,138 45,569 136,708 68,354 34,177 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542

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