3,610,413

3⁴ × 29² × 53

3,610,413 has digital root 9. The neighboring primes are 3610403 and 3610427; its proper-divisor sum differs from the starting integer by -1,529,712.

Prime Factor Structure

Factorization String 3^4 × 29^2 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 5,691,114

Proper Divisor Sum 2,080,701

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3610403 ← → #3610427

Radix Representation

Decimal	3610413
Binary	1101110001011100101101 (22 bits)
Octal	0o15613455
Hexadecimal	0x37172D

Divisor Catalog (30)

1 3 9 27 29 53 81 87 159 261 477 783 841 1,431 1,537 2,349 2,523 4,293 4,611 7,569 13,833 22,707 41,499 44,573 68,121 124,497 133,719 401,157 1,203,471 3,610,413

Collatz Trajectory (89 steps to reach 1)

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

3,610,413 10,831,240 5,415,620 2,707,810 1,353,905 4,061,716 2,030,858 1,015,429 3,046,288 1,523,144 761,572 380,786 190,393 571,180 285,590 142,795 428,386 214,193 642,580 321,290 160,645 481,936 240,968 120,484 60,242 30,121 90,364 45,182 22,591 67,774 33,887 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901

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