4,137,007

7 × 37 × 15973

4,137,007 factors as 7 × 37 × 15973. Its 8 positive divisors give a proper-divisor sum of 719,089, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 7 × 37 × 15973

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,856,096

Proper Divisor Sum 719,089

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4136999 ← → #4137013

Radix Representation

Decimal	4137007
Binary	1111110010000000101111 (22 bits)
Octal	0o17620057
Hexadecimal	0x3F202F

Divisor Catalog (8)

1 7 37 259 15,973 111,811 591,001 4,137,007

Collatz Trajectory (110 steps to reach 1)

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

4,137,007 12,411,022 6,205,511 18,616,534 9,308,267 27,924,802 13,962,401 41,887,204 20,943,602 10,471,801 31,415,404 15,707,702 7,853,851 23,561,554 11,780,777 35,342,332 17,671,166 8,835,583 26,506,750 13,253,375 39,760,126 19,880,063 59,640,190 29,820,095 89,460,286 44,730,143 134,190,430 67,095,215 201,285,646 100,642,823 301,928,470 150,964,235 452,892,706 226,446,353 679,339,060 339,669,530 169,834,765 509,504,296 254,752,148 127,376,074 63,688,037 191,064,112 95,532,056 47,766,028 23,883,014 11,941,507 35,824,522 17,912,261 53,736,784 26,868,392 13,434,196 6,717,098 3,358,549 10,075,648 5,037,824 2,518,912 1,259,456 629,728 314,864 157,432

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