7,611,052

2² × 1902763

Starting at 7,611,052, the Collatz iteration reaches 1 after 155 steps. The first transition is 3805526; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1902763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,319,348

Proper Divisor Sum 5,708,296

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7611047 ← → #7611061

Radix Representation

Decimal	7611052
Binary	11101000010001010101100 (23 bits)
Octal	0o35021254
Hexadecimal	0x7422AC

Divisor Catalog (6)

1 2 4 1,902,763 3,805,526 7,611,052

Collatz Trajectory (155 steps to reach 1)

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

7,611,052 3,805,526 1,902,763 5,708,290 2,854,145 8,562,436 4,281,218 2,140,609 6,421,828 3,210,914 1,605,457 4,816,372 2,408,186 1,204,093 3,612,280 1,806,140 903,070 451,535 1,354,606 677,303 2,031,910 1,015,955 3,047,866 1,523,933 4,571,800 2,285,900 1,142,950 571,475 1,714,426 857,213 2,571,640 1,285,820 642,910 321,455 964,366 482,183 1,446,550 723,275 2,169,826 1,084,913 3,254,740 1,627,370 813,685 2,441,056 1,220,528 610,264 305,132 152,566 76,283 228,850 114,425 343,276 171,638 85,819 257,458 128,729 386,188 193,094 96,547 289,642

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