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Atlas › Integer Profiles › Node 1,217,480

1,217,480

23 × 5 × 11 × 2767
Abundant Even Composite

1,217,480 factors as 2^3 × 5 × 11 × 2767. Its 32 positive divisors give a proper-divisor sum of 1,771,960, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 2767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,989,440
Proper Divisor Sum 1,771,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1217477 ← → #1217483

Radix Representation

Decimal 1217480
Binary 100101001001111001000 (21 bits)
Octal 0o4511710
Hexadecimal 0x1293C8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2,767 5,534 11,068 13,835 22,136 27,670 30,437 55,340 60,874 110,680 121,748 152,185 243,496 304,370 608,740 1,217,480

Collatz Trajectory (116 steps to reach 1)

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

1,217,480 608,740 304,370 152,185 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337

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