7,356,210

2 × 3 × 5 × 73 × 3359

Starting at 7,356,210, the Collatz iteration reaches 1 after 160 steps. The first transition is 3678105; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 73 × 3359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,902,080

Proper Divisor Sum 10,545,870

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7356203 ← → #7356247

Radix Representation

Decimal	7356210
Binary	11100000011111100110010 (23 bits)
Octal	0o34037462
Hexadecimal	0x703F32

Divisor Catalog (32)

1 2 3 5 6 10 15 30 73 146 219 365 438 730 1,095 2,190 3,359 6,718 10,077 16,795 20,154 33,590 50,385 100,770 245,207 490,414 735,621 1,226,035 1,471,242 2,452,070 3,678,105 7,356,210

Collatz Trajectory (160 steps to reach 1)

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

7,356,210 3,678,105 11,034,316 5,517,158 2,758,579 8,275,738 4,137,869 12,413,608 6,206,804 3,103,402 1,551,701 4,655,104 2,327,552 1,163,776 581,888 290,944 145,472 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

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