λ
Prime Ledger

7,361,070

2 × 3 × 5 × 29 × 8461
Abundant Even Composite

7,361,070 has the prime decomposition 2 × 3 × 5 × 29 × 8461. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 8461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,277,920
Proper Divisor Sum 10,916,850
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7361069 ← → #7361071

Radix Representation

Decimal 7361070
Binary 11100000101001000101110 (23 bits)
Octal 0o34051056
Hexadecimal 0x70522E

Divisor Catalog (32)

1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 8,461 16,922 25,383 42,305 50,766 84,610 126,915 245,369 253,830 490,738 736,107 1,226,845 1,472,214 2,453,690 3,680,535 7,361,070

Collatz Trajectory (142 steps to reach 1)

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

7,361,070 3,680,535 11,041,606 5,520,803 16,562,410 8,281,205 24,843,616 12,421,808 6,210,904 3,105,452 1,552,726 776,363 2,329,090 1,164,545 3,493,636 1,746,818 873,409 2,620,228 1,310,114 655,057 1,965,172 982,586 491,293 1,473,880 736,940 368,470 184,235 552,706 276,353 829,060 414,530 207,265 621,796 310,898 155,449 466,348 233,174 116,587 349,762 174,881 524,644 262,322 131,161 393,484 196,742 98,371 295,114 147,557 442,672 221,336 110,668 55,334 27,667 83,002 41,501 124,504 62,252 31,126 15,563 46,690

More profiles

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