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Atlas › Integer Profiles › Node 7,804,150

7,804,150

2 × 52 × 127 × 1229
Deficient Even Composite

7,804,150 factors as 2 × 5^2 × 127 × 1229. Its 24 positive divisors give a proper-divisor sum of 6,837,770, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 127 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,641,920
Proper Divisor Sum 6,837,770
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7804141 ← → #7804163

Radix Representation

Decimal 7804150
Binary 11101110001010011110110 (23 bits)
Octal 0o35612366
Hexadecimal 0x7714F6

Divisor Catalog (24)

1 2 5 10 25 50 127 254 635 1,229 1,270 2,458 3,175 6,145 6,350 12,290 30,725 61,450 156,083 312,166 780,415 1,560,830 3,902,075 7,804,150

Collatz Trajectory (124 steps to reach 1)

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

7,804,150 3,902,075 11,706,226 5,853,113 17,559,340 8,779,670 4,389,835 13,169,506 6,584,753 19,754,260 9,877,130 4,938,565 14,815,696 7,407,848 3,703,924 1,851,962 925,981 2,777,944 1,388,972 694,486 347,243 1,041,730 520,865 1,562,596 781,298 390,649 1,171,948 585,974 292,987 878,962 439,481 1,318,444 659,222 329,611 988,834 494,417 1,483,252 741,626 370,813 1,112,440 556,220 278,110 139,055 417,166 208,583 625,750 312,875 938,626 469,313 1,407,940 703,970 351,985 1,055,956 527,978 263,989 791,968 395,984 197,992 98,996 49,498

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