48,756,764

2² × 7³ × 35537

48,756,764 factors as 2^2 × 7^3 × 35537. Its 24 positive divisors give a proper-divisor sum of 50,749,636, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 35537

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 99,506,400

Proper Divisor Sum 50,749,636

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #48756737 ← → #48756779

Radix Representation

Decimal	48756764
Binary	10111001111111100000011100 (26 bits)
Octal	0o271774034
Hexadecimal	0x2E7F81C

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

48,756,764 24,378,382 12,189,191 36,567,574 18,283,787 54,851,362 27,425,681 82,277,044 41,138,522 20,569,261 61,707,784 30,853,892 15,426,946 7,713,473 23,140,420 11,570,210 5,785,105 17,355,316 8,677,658 4,338,829 13,016,488 6,508,244 3,254,122 1,627,061 4,881,184 2,440,592 1,220,296 610,148 305,074 152,537 457,612 228,806 114,403 343,210 171,605 514,816 257,408 128,704 64,352 32,176 16,088 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #48,756,763 Browse Full Index Next Integer #48,756,765 →