48,126,436

2² × 1607 × 7487

48,126,436 factors as 2^2 × 1607 × 7487. Its 12 positive divisors give a proper-divisor sum of 36,158,492, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^2 × 1607 × 7487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 84,284,928

Proper Divisor Sum 36,158,492

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #48126433 ← → #48126451

Radix Representation

Decimal	48126436
Binary	10110111100101100111100100 (26 bits)
Octal	0o267454744
Hexadecimal	0x2DE59E4

Divisor Catalog (12)

1 2 4 1,607 3,214 6,428 7,487 14,974 29,948 12,031,609 24,063,218 48,126,436

Collatz Trajectory (274 steps to reach 1)

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

48,126,436 24,063,218 12,031,609 36,094,828 18,047,414 9,023,707 27,071,122 13,535,561 40,606,684 20,303,342 10,151,671 30,455,014 15,227,507 45,682,522 22,841,261 68,523,784 34,261,892 17,130,946 8,565,473 25,696,420 12,848,210 6,424,105 19,272,316 9,636,158 4,818,079 14,454,238 7,227,119 21,681,358 10,840,679 32,522,038 16,261,019 48,783,058 24,391,529 73,174,588 36,587,294 18,293,647 54,880,942 27,440,471 82,321,414 41,160,707 123,482,122 61,741,061 185,223,184 92,611,592 46,305,796 23,152,898 11,576,449 34,729,348 17,364,674 8,682,337 26,047,012 13,023,506 6,511,753 19,535,260 9,767,630 4,883,815 14,651,446 7,325,723 21,977,170 10,988,585

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