λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,174,890

15,174,890

2 × 5 × 47 × 83 × 389
Deficient Even Composite

15,174,890 factors as 2 × 5 × 47 × 83 × 389. Its 32 positive divisors give a proper-divisor sum of 13,129,750, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 83 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,304,640
Proper Divisor Sum 13,129,750
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #15174881 ← → #15174911

Radix Representation

Decimal 15174890
Binary 111001111000110011101010 (24 bits)
Octal 0o71706352
Hexadecimal 0xE78CEA

Divisor Catalog (32)

1 2 5 10 47 83 94 166 235 389 415 470 778 830 1,945 3,890 3,901 7,802 18,283 19,505 32,287 36,566 39,010 64,574 91,415 161,435 182,830 322,870 1,517,489 3,034,978 7,587,445 15,174,890

Collatz Trajectory (161 steps to reach 1)

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

15,174,890 7,587,445 22,762,336 11,381,168 5,690,584 2,845,292 1,422,646 711,323 2,133,970 1,066,985 3,200,956 1,600,478 800,239 2,400,718 1,200,359 3,601,078 1,800,539 5,401,618 2,700,809 8,102,428 4,051,214 2,025,607 6,076,822 3,038,411 9,115,234 4,557,617 13,672,852 6,836,426 3,418,213 10,254,640 5,127,320 2,563,660 1,281,830 640,915 1,922,746 961,373 2,884,120 1,442,060 721,030 360,515 1,081,546 540,773 1,622,320 811,160 405,580 202,790 101,395 304,186 152,093 456,280 228,140 114,070 57,035 171,106 85,553 256,660 128,330 64,165 192,496 96,248

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #15,174,889 Browse Full Index Next Integer #15,174,891 →