λ
Modular Archive

7,221,207

3 × 7 × 41 × 8387
Deficient Odd Composite

The decimal integer 7,221,207 is 11011100010111111010111 in binary (23 bits), 33427727 in octal and 6E2FD7 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 8387
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,273,472
Proper Divisor Sum 4,052,265
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7221199 ← → #7221251

Radix Representation

Decimal 7221207
Binary 11011100010111111010111 (23 bits)
Octal 0o33427727
Hexadecimal 0x6E2FD7

Divisor Catalog (16)

1 3 7 21 41 123 287 861 8,387 25,161 58,709 176,127 343,867 1,031,601 2,407,069 7,221,207

Collatz Trajectory (403 steps to reach 1)

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

7,221,207 21,663,622 10,831,811 32,495,434 16,247,717 48,743,152 24,371,576 12,185,788 6,092,894 3,046,447 9,139,342 4,569,671 13,709,014 6,854,507 20,563,522 10,281,761 30,845,284 15,422,642 7,711,321 23,133,964 11,566,982 5,783,491 17,350,474 8,675,237 26,025,712 13,012,856 6,506,428 3,253,214 1,626,607 4,879,822 2,439,911 7,319,734 3,659,867 10,979,602 5,489,801 16,469,404 8,234,702 4,117,351 12,352,054 6,176,027 18,528,082 9,264,041 27,792,124 13,896,062 6,948,031 20,844,094 10,422,047 31,266,142 15,633,071 46,899,214 23,449,607 70,348,822 35,174,411 105,523,234 52,761,617 158,284,852 79,142,426 39,571,213 118,713,640 59,356,820

More profiles

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