3,473,613

3² × 11 × 13 × 2699

3,473,613 has digital root 9. The neighboring primes are 3473611 and 3473623; its proper-divisor sum differs from the starting integer by -1,050,426.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 2699

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,896,800

Proper Divisor Sum 2,423,187

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3473611 ← → #3473623

Radix Representation

Decimal	3473613
Binary	1101010000000011001101 (22 bits)
Octal	0o15200315
Hexadecimal	0x3500CD

Divisor Catalog (24)

1 3 9 11 13 33 39 99 117 143 429 1,287 2,699 8,097 24,291 29,689 35,087 89,067 105,261 267,201 315,783 385,957 1,157,871 3,473,613

Collatz Trajectory (71 steps to reach 1)

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

3,473,613 10,420,840 5,210,420 2,605,210 1,302,605 3,907,816 1,953,908 976,954 488,477 1,465,432 732,716 366,358 183,179 549,538 274,769 824,308 412,154 206,077 618,232 309,116 154,558 77,279 231,838 115,919 347,758 173,879 521,638 260,819 782,458 391,229 1,173,688 586,844 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17

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