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Atlas › Integer Profiles › Node 4,869,963

4,869,963

35 × 72 × 409
Deficient Odd Composite

4,869,963 factors as 3^5 × 7^2 × 409. Its 36 positive divisors give a proper-divisor sum of 3,636,717, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^5 × 7^2 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,506,680
Proper Divisor Sum 3,636,717
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4869959 ← → #4869979

Radix Representation

Decimal 4869963
Binary 10010100100111101001011 (23 bits)
Octal 0o22447513
Hexadecimal 0x4A4F4B

Divisor Catalog (36)

1 3 7 9 21 27 49 63 81 147 189 243 409 441 567 1,227 1,323 1,701 2,863 3,681 3,969 8,589 11,043 11,907 20,041 25,767 33,129 60,123 77,301 99,387 180,369 231,903 541,107 695,709 1,623,321 4,869,963

Collatz Trajectory (118 steps to reach 1)

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

4,869,963 14,609,890 7,304,945 21,914,836 10,957,418 5,478,709 16,436,128 8,218,064 4,109,032 2,054,516 1,027,258 513,629 1,540,888 770,444 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 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

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