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Atlas › Integer Profiles › Node 1,470,105

1,470,105

32 × 5 × 7 × 13 × 359
Abundant Odd Composite

1,470,105 factors as 3^2 × 5 × 7 × 13 × 359. Its 48 positive divisors give a proper-divisor sum of 1,674,855, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,144,960
Proper Divisor Sum 1,674,855
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1470071 ← → #1470149

Radix Representation

Decimal 1470105
Binary 101100110111010011001 (21 bits)
Octal 0o5467231
Hexadecimal 0x166E99

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 359 455 585 819 1,077 1,365 1,795 2,513 3,231 4,095 4,667 5,385 7,539 12,565 14,001 16,155 22,617 23,335 32,669 37,695 42,003 70,005 98,007 113,085 163,345 210,015 294,021 490,035 1,470,105

Collatz Trajectory (168 steps to reach 1)

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

1,470,105 4,410,316 2,205,158 1,102,579 3,307,738 1,653,869 4,961,608 2,480,804 1,240,402 620,201 1,860,604 930,302 465,151 1,395,454 697,727 2,093,182 1,046,591 3,139,774 1,569,887 4,709,662 2,354,831 7,064,494 3,532,247 10,596,742 5,298,371 15,895,114 7,947,557 23,842,672 11,921,336 5,960,668 2,980,334 1,490,167 4,470,502 2,235,251 6,705,754 3,352,877 10,058,632 5,029,316 2,514,658 1,257,329 3,771,988 1,885,994 942,997 2,828,992 1,414,496 707,248 353,624 176,812 88,406 44,203 132,610 66,305 198,916 99,458 49,729 149,188 74,594 37,297 111,892 55,946

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