λ
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Atlas › Integer Profiles › Node 21,032,858

21,032,858

2 × 72 × 11 × 109 × 179
Deficient Even Composite

21,032,858 factors as 2 × 7^2 × 11 × 109 × 179. Its 48 positive divisors give a proper-divisor sum of 19,596,742, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 109 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,629,600
Proper Divisor Sum 19,596,742
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #21032857 ← → #21032863

Radix Representation

Decimal 21032858
Binary 1010000001110111110011010 (25 bits)
Octal 0o120167632
Hexadecimal 0x140EF9A

Divisor Catalog (48)

1 2 7 11 14 22 49 77 98 109 154 179 218 358 539 763 1,078 1,199 1,253 1,526 1,969 2,398 2,506 3,938 5,341 8,393 8,771 10,682 13,783 16,786 17,542 19,511 27,566 39,022 58,751 96,481 117,502 136,577 192,962 214,621 273,154 429,242 956,039 1,502,347 1,912,078 3,004,694 10,516,429 21,032,858

Collatz Trajectory (221 steps to reach 1)

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

21,032,858 10,516,429 31,549,288 15,774,644 7,887,322 3,943,661 11,830,984 5,915,492 2,957,746 1,478,873 4,436,620 2,218,310 1,109,155 3,327,466 1,663,733 4,991,200 2,495,600 1,247,800 623,900 311,950 155,975 467,926 233,963 701,890 350,945 1,052,836 526,418 263,209 789,628 394,814 197,407 592,222 296,111 888,334 444,167 1,332,502 666,251 1,998,754 999,377 2,998,132 1,499,066 749,533 2,248,600 1,124,300 562,150 281,075 843,226 421,613 1,264,840 632,420 316,210 158,105 474,316 237,158 118,579 355,738 177,869 533,608 266,804 133,402

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